Final answer:
After cross-multiplying, only statement I (4/14 = 2/7) is true because the products are equal (28 = 28). Statements II and III are false as their cross-multiplied products are not equal (64 != 72 and 492 != 504 respectively). Thus, the answer is A) I only.
Step-by-step explanation:
The question pertains to proportions and requires us to verify if the given proportion statements are true. Proportions are statements that two ratios are equal. To solve each of the given proportions, one can cross-multiply and check if the resulting products are equal.
- For statement I (4/14 = 2/7): Cross-multiplying gives 4×7 = 2×14, which simplifies to 28 = 28, so statement I is true.
- For statement II (4/6 = 12/16): Cross-multiplying gives 4×16 = 12×6, which simplifies to 64 = 72, so statement II is false.
- For statement III (12/7 = 72/41): Cross-multiplying gives 12×41 = 7×72, which simplifies to 492 = 504, so statement III is false.
Therefore, the correct answer is A) I only, as only the first statement is a true proportion.