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Finding the Fourth Proportional to 8,617.14, 11,892.24 and 5,789.22

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Solution

The fourth proportional to 8,617.14, 11,892.24 and 5,789.22 is: 7,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.14 : 11,892.24 = 5,789.22 : x
  2. Step 2: Convert to fraction form
    8,617.14/11,892.24 = 5,789.22/x
  3. Step 3: Cross multiply
    8,617.14x = 11,892.24 × 5,789.22
  4. Step 4: Simplify right side
    8,617.14x = 68,846,793.65
  5. Step 5: Solve for x
    x = 68,846,793.65/8,617.14
  6. Step 6: Final answer
    x = 7,989.52

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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.