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### Grade 8 - Mathematics2.14 Proportion - I

 Two quantities are proportional if they have a same ratio or rate. Proportion: Two ratios set equal Setting two fractions equal Solved by cross multiplying Direct or inverse Example: a/b = c/d cross products ad =cd ad and cb are called the cross products of this proportion. The cross products of any proportion are equal. the product of extremes in a proportion = the product of means in the proportion. Cross products can be used to determine whether two ratios are in proportion. Example: 3/2 = 9/x cross products: 3x = 18 x = 6 Example: q/25 = 52/100 cross products: q x 100 = 25 x 52 100q = 1300 q = 13 Directions: Answer the following questions. Also write at least ten examples of your own.
 Q 1: If 2,5,10,x are in proportion then value of x = _____.202515 Q 2: The product of extremes in a proportion = the product of ____ in the proportion.MiddleExtremesMeans Q 3: The equality of two ratios is called a _____.EqualityRatioProportion Q 4: a, b, c and d are four numbers if a:b = c:d then a, b, c and d are in ______.ProportionRatioEquation Q 5: The terms at the last of a proportion are called ______.MeansExtremesOpposites Q 6: If 3,7,9,x are in proportion then value of x = ____.171821 Q 7: The product of ____ in a proportion = the product of means in the proportion.CenterExtremesMeans Q 8: The terms at the middle of a proportion are called ______.ExtremesCenterMeans Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!