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Finding the Fourth Proportional to 29,634, 44,451 and 7,746

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Solution

The fourth proportional to 29,634, 44,451 and 7,746 is: 11,619

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,634 : 44,451 = 7,746 : x
  2. Step 2: Convert to fraction form
    29,634/44,451 = 7,746/x
  3. Step 3: Cross multiply
    29,634x = 44,451 × 7,746
  4. Step 4: Simplify right side
    29,634x = 344,317,446
  5. Step 5: Solve for x
    x = 344,317,446/29,634
  6. Step 6: Final answer
    x = 11,619

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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.