Question 56

X = 1.5

To solve the proportion 15:1000 :: X:100, we can use cross-multiplication. By setting up the equation 15 * 100 = X * 1000, we find that X equals 1.5.

A) X = 7.5

This option is incorrect. If X were 7.5, the proportion would not hold true, as substituting back into the equation 15:1000 would not yield equivalent ratios when compared to 7.5:100.

B) X = 6,666

This choice is also incorrect. The value of 6,666 is far too high for X when considering the original ratio of 15:1000, which suggests a much smaller value for X when scaled down to 100.

C) X = 0.15

This option is incorrect. A value of 0.15 would not satisfy the proportion, as the calculated ratio would not equate to the original ratio of 15:1000 when applied in the context of 100.

D) X = 1.5

This is the correct answer. When we set up the equation using cross-multiplication, we find that 15 * 100 equals 1.5 * 1000, which confirms that the ratios are equivalent.

Conclusion

The correct answer, X = 1.5, accurately maintains the proportion between the two sets of numbers. All other options fail to satisfy the proportional relationship established in the original question, demonstrating a misunderstanding of ratio and proportion calculations.