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Finding the Fourth Proportional to 6,508.38, 9,761.22 and 3,737.64

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Solution

The fourth proportional to 6,508.38, 9,761.22 and 3,737.64 is: 5,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.38 : 9,761.22 = 3,737.64 : x
  2. Step 2: Convert to fraction form
    6,508.38/9,761.22 = 3,737.64/x
  3. Step 3: Cross multiply
    6,508.38x = 9,761.22 × 3,737.64
  4. Step 4: Simplify right side
    6,508.38x = 36,483,926.32
  5. Step 5: Solve for x
    x = 36,483,926.32/6,508.38
  6. Step 6: Final answer
    x = 5,605.68

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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.