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Finding the Fourth Proportional to 6,546.71, 9,034.89 and 3,713.13

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Solution

The fourth proportional to 6,546.71, 9,034.89 and 3,713.13 is: 5,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.71 : 9,034.89 = 3,713.13 : x
  2. Step 2: Convert to fraction form
    6,546.71/9,034.89 = 3,713.13/x
  3. Step 3: Cross multiply
    6,546.71x = 9,034.89 × 3,713.13
  4. Step 4: Simplify right side
    6,546.71x = 33,547,721.11
  5. Step 5: Solve for x
    x = 33,547,721.11/6,546.71
  6. Step 6: Final answer
    x = 5,124.37

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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.