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Finding the Fourth Proportional to 8,472.60, 11,693.64 and 4,935.78

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Solution

The fourth proportional to 8,472.60, 11,693.64 and 4,935.78 is: 6,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.60 : 11,693.64 = 4,935.78 : x
  2. Step 2: Convert to fraction form
    8,472.60/11,693.64 = 4,935.78/x
  3. Step 3: Cross multiply
    8,472.60x = 11,693.64 × 4,935.78
  4. Step 4: Simplify right side
    8,472.60x = 57,717,234.44
  5. Step 5: Solve for x
    x = 57,717,234.44/8,472.60
  6. Step 6: Final answer
    x = 6,812.22

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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.