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Finding the Fourth Proportional to 38,818, 58,227 and 9,634

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Solution

The fourth proportional to 38,818, 58,227 and 9,634 is: 14,451

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,818 : 58,227 = 9,634 : x
  2. Step 2: Convert to fraction form
    38,818/58,227 = 9,634/x
  3. Step 3: Cross multiply
    38,818x = 58,227 × 9,634
  4. Step 4: Simplify right side
    38,818x = 560,958,918
  5. Step 5: Solve for x
    x = 560,958,918/38,818
  6. Step 6: Final answer
    x = 14,451

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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.