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Finding the Fourth Proportional to 34,375, 51,565.50 and 9,751

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Solution

The fourth proportional to 34,375, 51,565.50 and 9,751 is: 14,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,375 : 51,565.50 = 9,751 : x
  2. Step 2: Convert to fraction form
    34,375/51,565.50 = 9,751/x
  3. Step 3: Cross multiply
    34,375x = 51,565.50 × 9,751
  4. Step 4: Simplify right side
    34,375x = 502,815,190.50
  5. Step 5: Solve for x
    x = 502,815,190.50/34,375
  6. Step 6: Final answer
    x = 14,627.35

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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.