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Finding the Fourth Proportional to 22,778.88, 34,171.84 and 8,738.24

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Solution

The fourth proportional to 22,778.88, 34,171.84 and 8,738.24 is: 13,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.88 : 34,171.84 = 8,738.24 : x
  2. Step 2: Convert to fraction form
    22,778.88/34,171.84 = 8,738.24/x
  3. Step 3: Cross multiply
    22,778.88x = 34,171.84 × 8,738.24
  4. Step 4: Simplify right side
    22,778.88x = 298,601,739.16
  5. Step 5: Solve for x
    x = 298,601,739.16/22,778.88
  6. Step 6: Final answer
    x = 13,108.71

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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.