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Finding the Fourth Proportional to 16,480.48, 22,744.22 and 9,407.96

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Solution

The fourth proportional to 16,480.48, 22,744.22 and 9,407.96 is: 12,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.48 : 22,744.22 = 9,407.96 : x
  2. Step 2: Convert to fraction form
    16,480.48/22,744.22 = 9,407.96/x
  3. Step 3: Cross multiply
    16,480.48x = 22,744.22 × 9,407.96
  4. Step 4: Simplify right side
    16,480.48x = 213,976,711.99
  5. Step 5: Solve for x
    x = 213,976,711.99/16,480.48
  6. Step 6: Final answer
    x = 12,983.65

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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.