Question

1 part remaining click to select your answer and then click check answer. clear all a. \\(\frac{5,250}{231} = \frac{y}{484}\\) b. \\(\frac{231}{5,250} = \frac{y}{484}\\) c. \\(\frac{6.25}{319} = \frac{y}{484}\\) d. \\(\frac{231}{5.25} = \frac{y}{484}\\)

Explanation:

To solve this, we analyze the proportion structure. Let's assume the original proportion (not shown but inferring from the options) likely involves consistent units or scaling. Let's check each option:

• Option A: $\frac{5,250}{231} = \frac{y}{484}$ – Let's see if the numerators/denominators make sense. If we cross - multiply, $5250\times484 = 231y$.
• Option B: $\frac{231}{5,250}=\frac{y}{484}$ – Cross - multiplying gives $231\times484 = 5250y$.
• Option C: $\frac{6.25}{319}=\frac{y}{484}$ – Cross - multiplying gives $6.25\times484 = 319y$.
• Option D: $\frac{231}{5.25}=\frac{y}{484}$ – Cross - multiplying gives $231\times484 = 5.25y$.

Now, if we consider the numbers, 5250 and 5.25 are related by a factor of 1000 (since $5250\div1000 = 5.25$), and 231 is a common numerator/denominator. But looking at the structure of proportions, if we have a proportion where the first ratio has a large number (5250) and the second ratio has a smaller number (5.25) related by a decimal shift, but the key is to check the equality of ratios.

Wait, maybe the original problem is about a scale or a proportion where 231 and 5250 (or 5.25) are related. Let's re - examine the options. If we consider that 5250 and 5.25 are 1000 times different. But let's check the cross - multiplication for option A:

If $\frac{5250}{231}=\frac{y}{484}$, then $y=\frac{5250\times484}{231}$. Let's simplify $\frac{5250}{231}=\frac{5250\div21}{231\div21}=\frac{250}{11}$. Then $y = \frac{250}{11}\times484=250\times44 = 11000$.

For option D: $\frac{231}{5.25}=\frac{y}{484}$, $5.25=\frac{21}{4}$, so $\frac{231}{\frac{21}{4}}=\frac{y}{484}$, $\frac{231\times4}{21}=\frac{y}{484}$, $44=\frac{y}{484}$, then $y = 44\times484 = 21296$.

But if we assume that the numbers are set up such that 5250 and 231 have a relationship (for example, if 5250 is a total and 231 is a part), and we want to find y with respect to 484. The most likely correct proportion is option A because the numbers 5250, 231, and 484 are in a proportion - like structure where the first ratio has a large number (5250) and the second ratio is set up to solve for y.

Answer:

A. $\frac{5,250}{231}=\frac{y}{484}$