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If 4 : 15 :: 8 : is a true proportion, which equation correctly applies the cross-product rule?

Class 6Ratio and ProportionRatio and Proportion
  • A
  • B
  • C
  • D

Step-by-Step Solution

In a : b :: c : d the outer terms are the extremes and the inner terms are the means, and extremes × extremes = means × means. Here the extremes are 4 and and the means are 15 and 8, so , giving . The last option adds instead of multiplying, which is not the proportion test.
Answer: A)

Key idea: Proportion: when two ratios are equal

If a : , the four numbers are in proportion. The classic check: the **product of the extremes** equals the **product of the means** . Example: are 4 : 6 and 6 : 9 in proportion? Cross-multiply: . Equal → yes, in proportion.

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