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Finding the Fourth Proportional to 6,115.32, 9,167.49 and 2,217

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Solution

The fourth proportional to 6,115.32, 9,167.49 and 2,217 is: 3,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.32 : 9,167.49 = 2,217 : x
  2. Step 2: Convert to fraction form
    6,115.32/9,167.49 = 2,217/x
  3. Step 3: Cross multiply
    6,115.32x = 9,167.49 × 2,217
  4. Step 4: Simplify right side
    6,115.32x = 20,324,325.33
  5. Step 5: Solve for x
    x = 20,324,325.33/6,115.32
  6. Step 6: Final answer
    x = 3,323.51

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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.