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Finding the Fourth Proportional to 16,179.92, 24,266.22 and 6,314.12

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Solution

The fourth proportional to 16,179.92, 24,266.22 and 6,314.12 is: 9,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.92 : 24,266.22 = 6,314.12 : x
  2. Step 2: Convert to fraction form
    16,179.92/24,266.22 = 6,314.12/x
  3. Step 3: Cross multiply
    16,179.92x = 24,266.22 × 6,314.12
  4. Step 4: Simplify right side
    16,179.92x = 153,219,885.69
  5. Step 5: Solve for x
    x = 153,219,885.69/16,179.92
  6. Step 6: Final answer
    x = 9,469.75

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1.5x scale

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.