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Finding the Fourth Proportional to 8,314.38, 12,471.57 and 4,801.14

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Solution

The fourth proportional to 8,314.38, 12,471.57 and 4,801.14 is: 7,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.38 : 12,471.57 = 4,801.14 : x
  2. Step 2: Convert to fraction form
    8,314.38/12,471.57 = 4,801.14/x
  3. Step 3: Cross multiply
    8,314.38x = 12,471.57 × 4,801.14
  4. Step 4: Simplify right side
    8,314.38x = 59,877,753.59
  5. Step 5: Solve for x
    x = 59,877,753.59/8,314.38
  6. Step 6: Final answer
    x = 7,201.71

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Half scale
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Similar ratio
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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.