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Finding the Fourth Proportional to 12,714.48, 17,545.92 and 8,004.96

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Solution

The fourth proportional to 12,714.48, 17,545.92 and 8,004.96 is: 11,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.48 : 17,545.92 = 8,004.96 : x
  2. Step 2: Convert to fraction form
    12,714.48/17,545.92 = 8,004.96/x
  3. Step 3: Cross multiply
    12,714.48x = 17,545.92 × 8,004.96
  4. Step 4: Simplify right side
    12,714.48x = 140,454,387.76
  5. Step 5: Solve for x
    x = 140,454,387.76/12,714.48
  6. Step 6: Final answer
    x = 11,046.81

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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.