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Finding the Fourth Proportional to 16,414.04, 22,651.40 and 8,962.04

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Solution

The fourth proportional to 16,414.04, 22,651.40 and 8,962.04 is: 12,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.04 : 22,651.40 = 8,962.04 : x
  2. Step 2: Convert to fraction form
    16,414.04/22,651.40 = 8,962.04/x
  3. Step 3: Cross multiply
    16,414.04x = 22,651.40 × 8,962.04
  4. Step 4: Simplify right side
    16,414.04x = 203,002,752.86
  5. Step 5: Solve for x
    x = 203,002,752.86/16,414.04
  6. Step 6: Final answer
    x = 12,367.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.