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Finding the Fourth Proportional to 6,689.38, 9,228.98 and 3,998.73

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Solution

The fourth proportional to 6,689.38, 9,228.98 and 3,998.73 is: 5,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.38 : 9,228.98 = 3,998.73 : x
  2. Step 2: Convert to fraction form
    6,689.38/9,228.98 = 3,998.73/x
  3. Step 3: Cross multiply
    6,689.38x = 9,228.98 × 3,998.73
  4. Step 4: Simplify right side
    6,689.38x = 36,904,176.75
  5. Step 5: Solve for x
    x = 36,904,176.75/6,689.38
  6. Step 6: Final answer
    x = 5,516.83

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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.