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Finding the Fourth Proportional to 6,550.43, 9,829.69 and 2,654.87

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Solution

The fourth proportional to 6,550.43, 9,829.69 and 2,654.87 is: 3,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.43 : 9,829.69 = 2,654.87 : x
  2. Step 2: Convert to fraction form
    6,550.43/9,829.69 = 2,654.87/x
  3. Step 3: Cross multiply
    6,550.43x = 9,829.69 × 2,654.87
  4. Step 4: Simplify right side
    6,550.43x = 26,096,493.30
  5. Step 5: Solve for x
    x = 26,096,493.30/6,550.43
  6. Step 6: Final answer
    x = 3,983.94

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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.