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Finding the Fourth Proportional to 25,174.26, 37,737.78 and 8,522.64

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Solution

The fourth proportional to 25,174.26, 37,737.78 and 8,522.64 is: 12,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.26 : 37,737.78 = 8,522.64 : x
  2. Step 2: Convert to fraction form
    25,174.26/37,737.78 = 8,522.64/x
  3. Step 3: Cross multiply
    25,174.26x = 37,737.78 × 8,522.64
  4. Step 4: Simplify right side
    25,174.26x = 321,625,513.34
  5. Step 5: Solve for x
    x = 321,625,513.34/25,174.26
  6. Step 6: Final answer
    x = 12,775.97

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1.5x scale

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.