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Finding the Fourth Proportional to 38,822, 58,233 and 9,638

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Solution

The fourth proportional to 38,822, 58,233 and 9,638 is: 14,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,822 : 58,233 = 9,638 : x
  2. Step 2: Convert to fraction form
    38,822/58,233 = 9,638/x
  3. Step 3: Cross multiply
    38,822x = 58,233 × 9,638
  4. Step 4: Simplify right side
    38,822x = 561,249,654
  5. Step 5: Solve for x
    x = 561,249,654/38,822
  6. Step 6: Final answer
    x = 14,457

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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.