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Finding the Fourth Proportional to 6,857.52, 9,463.28 and 3,713.68

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Solution

The fourth proportional to 6,857.52, 9,463.28 and 3,713.68 is: 5,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.52 : 9,463.28 = 3,713.68 : x
  2. Step 2: Convert to fraction form
    6,857.52/9,463.28 = 3,713.68/x
  3. Step 3: Cross multiply
    6,857.52x = 9,463.28 × 3,713.68
  4. Step 4: Simplify right side
    6,857.52x = 35,143,593.67
  5. Step 5: Solve for x
    x = 35,143,593.67/6,857.52
  6. Step 6: Final answer
    x = 5,124.83

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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.