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Which ratios form a proportion?

4/10 and 10/25
3/5 and 9/25
4/11 and 6/13
4/9 and 9/4"

1 Answer

1 vote

Final answer:

To determine if ratios form a proportion, cross-multiply and compare the cross-products. Only the ratios 4/10 and 10/25 form a proportion.

Step-by-step explanation:

To determine which ratios form a proportion, we need to check if the ratios are equal. Let's check each pair:

  • 4/10 and 10/25: To check if these ratios form a proportion, we can cross-multiply. If the cross-products are equal, then the ratios form a proportion. (4 * 25) = (10 * 10). The cross-products are equal, so these ratios form a proportion.
  • 3/5 and 9/25: (3 * 25) is not equal to (5 * 9), so these ratios do not form a proportion.
  • 4/11 and 6/13: (4 * 13) is not equal to (11 * 6), so these ratios do not form a proportion.
  • 4/9 and 9/4: To check if these ratios form a proportion, we can cross-multiply. If the cross-products are equal, then the ratios form a proportion. (4 * 4) is not equal to (9 * 9), so these ratios do not form a proportion.

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