This invariable ratio of proportional values is

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Unformatted text preview: one number by another. Proportion – an equality of two ratios. For instance: 12 : 20 = 3 : 5; a:b=c:d. Border terms of the proportion: 12 and 5 in the first proportion; a and d in the second proportion. Middle terms of the proportion: 20 and 3 in the first proportion; b and c in the second proportion. The main property of a proportion: A product of border terms of a proportion is equal to a product of its middle terms. Two mutually dependent values are called proportional ones, if a ratio of their values is saved as invariable. This invariable ratio of proportional values is called a factor of a proportionality. Example. A mass of any substance is proportional to its volume. For instance, 2 liters of mercury weigh 27.2 kg, 5 liters weigh 68 kg, 7 liters weigh 95.2 kg. A ratio of mercury mass to its volume ( factor of a proportionality ) will be equal to: Thus, a factor of a proportionality in this example is density. Math I - 16 - Feel free to pass this on to your friends, but please don’t post it online. Discuss UPCAT and other college entrance exam questions and answers at Academic-Clinic’s Facebook Page. We encourage you to answer the questions we post there and actively participate in the discussions on our wall. For UPCAT, ACET, DLSUCET and USTET tips, tricks, news and other college entrance exam information, visit the Academic-Clinic website. Tell your friends and classmates to come find and join us. The more, the merrier. Good luck! AcademicAcademic Academic-Clinic.com The achiever’s guide to academic life and beyond… W ebsite: http://academic-clinic.com Facebook: http://www.facebook.com/academic.clinic Twitter: http://twitter.com/acadclinic College entrance exam and science high school entrance test tips. Conquer UPCAT, ACET, USTET, DLSUCET, PSHS-NCE, and other entrance tests. The Integers and Rational Numbers To the natural numbers one adjoins their negatives and zero to form the integers. The ratios a/b of the integers, where a and b are integers and b /= 0, constitute the rational numbers; the integers are those rational numbers for which b = 1. The rational numbers may also be represented by repeating decimals; e.g., 1/2 = 0.5000 …, 2/3 = 0.6666 …, 2/7 = 0.285714285714 … Negative integers appear, when the greater integer is subtracted from the smaller one, for instance: 10 – 15...
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