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Finding the Fourth Proportional to 29,538, 44,307 and 7,650

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Solution

The fourth proportional to 29,538, 44,307 and 7,650 is: 11,475

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538 : 44,307 = 7,650 : x
  2. Step 2: Convert to fraction form
    29,538/44,307 = 7,650/x
  3. Step 3: Cross multiply
    29,538x = 44,307 × 7,650
  4. Step 4: Simplify right side
    29,538x = 338,948,550
  5. Step 5: Solve for x
    x = 338,948,550/29,538
  6. Step 6: Final answer
    x = 11,475

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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.