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Finding the Fourth Proportional to 8,165.97, 12,246.62 and 4,469.85

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Solution

The fourth proportional to 8,165.97, 12,246.62 and 4,469.85 is: 6,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.97 : 12,246.62 = 4,469.85 : x
  2. Step 2: Convert to fraction form
    8,165.97/12,246.62 = 4,469.85/x
  3. Step 3: Cross multiply
    8,165.97x = 12,246.62 × 4,469.85
  4. Step 4: Simplify right side
    8,165.97x = 54,740,532.06
  5. Step 5: Solve for x
    x = 54,740,532.06/8,165.97
  6. Step 6: Final answer
    x = 6,703.49

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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.