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Finding the Fourth Proportional to 6,643.05, 9,167.38 and 3,658.87

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Solution

The fourth proportional to 6,643.05, 9,167.38 and 3,658.87 is: 5,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.05 : 9,167.38 = 3,658.87 : x
  2. Step 2: Convert to fraction form
    6,643.05/9,167.38 = 3,658.87/x
  3. Step 3: Cross multiply
    6,643.05x = 9,167.38 × 3,658.87
  4. Step 4: Simplify right side
    6,643.05x = 33,542,253.97
  5. Step 5: Solve for x
    x = 33,542,253.97/6,643.05
  6. Step 6: Final answer
    x = 5,049.23

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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.