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Finding the Fourth Proportional to 34,250, 51,375 and 9,626

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Solution

The fourth proportional to 34,250, 51,375 and 9,626 is: 14,439

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,250 : 51,375 = 9,626 : x
  2. Step 2: Convert to fraction form
    34,250/51,375 = 9,626/x
  3. Step 3: Cross multiply
    34,250x = 51,375 × 9,626
  4. Step 4: Simplify right side
    34,250x = 494,535,750
  5. Step 5: Solve for x
    x = 494,535,750/34,250
  6. Step 6: Final answer
    x = 14,439

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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.