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Finding the Fourth Proportional to 6,463.80, 9,695.22 and 3,864.78

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Solution

The fourth proportional to 6,463.80, 9,695.22 and 3,864.78 is: 5,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.80 : 9,695.22 = 3,864.78 : x
  2. Step 2: Convert to fraction form
    6,463.80/9,695.22 = 3,864.78/x
  3. Step 3: Cross multiply
    6,463.80x = 9,695.22 × 3,864.78
  4. Step 4: Simplify right side
    6,463.80x = 37,469,892.35
  5. Step 5: Solve for x
    x = 37,469,892.35/6,463.80
  6. Step 6: Final answer
    x = 5,796.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.