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Finding the Fourth Proportional to 5,753.38, 7,942.34 and 4,337.64

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Solution

The fourth proportional to 5,753.38, 7,942.34 and 4,337.64 is: 5,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.38 : 7,942.34 = 4,337.64 : x
  2. Step 2: Convert to fraction form
    5,753.38/7,942.34 = 4,337.64/x
  3. Step 3: Cross multiply
    5,753.38x = 7,942.34 × 4,337.64
  4. Step 4: Simplify right side
    5,753.38x = 34,451,011.68
  5. Step 5: Solve for x
    x = 34,451,011.68/5,753.38
  6. Step 6: Final answer
    x = 5,987.96

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Half scale
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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.