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Finding the Fourth Proportional to 16,446, 24,669 and 4,134

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Solution

The fourth proportional to 16,446, 24,669 and 4,134 is: 6,201

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446 : 24,669 = 4,134 : x
  2. Step 2: Convert to fraction form
    16,446/24,669 = 4,134/x
  3. Step 3: Cross multiply
    16,446x = 24,669 × 4,134
  4. Step 4: Simplify right side
    16,446x = 101,981,646
  5. Step 5: Solve for x
    x = 101,981,646/16,446
  6. Step 6: Final answer
    x = 6,201

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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.