Final answer:
The ratios 4:6 and 13:54 do not form a proportion because the cross-products are not equal; 4 × 54 is not equal to 6 × 13, resulting in the answer being False.
Step-by-step explanation:
The question is asking whether the ratios 4:6 and 13:54 form a proportion. To determine if two ratios form a proportion, you need to see if the cross-products are equal. In other words, for ratios a:b and c:d to form a proportion, the product of a and d should be equal to the product of b and c.
To check if 4:6 and 13:54 are in proportion:
- Calculate the cross-products: 4 × 54 and 6 × 13.
- 4 × 54 = 216
- 6 × 13 = 78
- Since 216 is not equal to 78, the ratios 4:6 and 13:54 do not form a proportion.
Therefore, the answer is False.