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Finding the Fourth Proportional to 16,450, 24,675 and 5,506

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Solution

The fourth proportional to 16,450, 24,675 and 5,506 is: 8,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450 : 24,675 = 5,506 : x
  2. Step 2: Convert to fraction form
    16,450/24,675 = 5,506/x
  3. Step 3: Cross multiply
    16,450x = 24,675 × 5,506
  4. Step 4: Simplify right side
    16,450x = 135,860,550
  5. Step 5: Solve for x
    x = 135,860,550/16,450
  6. Step 6: Final answer
    x = 8,259

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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.