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Finding the Fourth Proportional to 22,958, 34,438.92 and 6,542

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Solution

The fourth proportional to 22,958, 34,438.92 and 6,542 is: 9,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958 : 34,438.92 = 6,542 : x
  2. Step 2: Convert to fraction form
    22,958/34,438.92 = 6,542/x
  3. Step 3: Cross multiply
    22,958x = 34,438.92 × 6,542
  4. Step 4: Simplify right side
    22,958x = 225,299,414.64
  5. Step 5: Solve for x
    x = 225,299,414.64/22,958
  6. Step 6: Final answer
    x = 9,813.55

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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.