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Finding the Fourth Proportional to 7,167.91, 9,891.87 and 4,024.09

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Solution

The fourth proportional to 7,167.91, 9,891.87 and 4,024.09 is: 5,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.91 : 9,891.87 = 4,024.09 : x
  2. Step 2: Convert to fraction form
    7,167.91/9,891.87 = 4,024.09/x
  3. Step 3: Cross multiply
    7,167.91x = 9,891.87 × 4,024.09
  4. Step 4: Simplify right side
    7,167.91x = 39,805,775.15
  5. Step 5: Solve for x
    x = 39,805,775.15/7,167.91
  6. Step 6: Final answer
    x = 5,553.33

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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.