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Finding the Fourth Proportional to 8,005.73, 11,046.89 and 4,469.09

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Solution

The fourth proportional to 8,005.73, 11,046.89 and 4,469.09 is: 6,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.73 : 11,046.89 = 4,469.09 : x
  2. Step 2: Convert to fraction form
    8,005.73/11,046.89 = 4,469.09/x
  3. Step 3: Cross multiply
    8,005.73x = 11,046.89 × 4,469.09
  4. Step 4: Simplify right side
    8,005.73x = 49,369,550.90
  5. Step 5: Solve for x
    x = 49,369,550.90/8,005.73
  6. Step 6: Final answer
    x = 6,166.77

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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.