Final answer:
The ratios 7:6 and 5:4 do not form a proportion, as 7 times 4 is 28, and 6 times 5 is 30, meaning their cross products are not equal.
Step-by-step explanation:
To determine whether the ratios 7:6 and 5:4 form a proportion, you can set them up as a fraction equation and cross-multiply to see if the cross products are equal.
A proportion exists when two ratios are equivalent, meaning their cross products are equal.
The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio, and doing the same for the other pair. So, for the ratios 7:6 and 5:4, we would have:
- 7 × 4 = 28
- 6 × 5 = 30
Since 28 does not equal 30, we can conclude that the ratios 7:6 and 5:4 do not form a proportion.