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Finding the Fourth Proportional to 6,547.46, 9,034.82 and 3,713.93

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Solution

The fourth proportional to 6,547.46, 9,034.82 and 3,713.93 is: 5,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.46 : 9,034.82 = 3,713.93 : x
  2. Step 2: Convert to fraction form
    6,547.46/9,034.82 = 3,713.93/x
  3. Step 3: Cross multiply
    6,547.46x = 9,034.82 × 3,713.93
  4. Step 4: Simplify right side
    6,547.46x = 33,554,693.06
  5. Step 5: Solve for x
    x = 33,554,693.06/6,547.46
  6. Step 6: Final answer
    x = 5,124.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.