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Finding the Fourth Proportional to 22,713.75, 34,070.78 and 7,922.61

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Solution

The fourth proportional to 22,713.75, 34,070.78 and 7,922.61 is: 11,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.75 : 34,070.78 = 7,922.61 : x
  2. Step 2: Convert to fraction form
    22,713.75/34,070.78 = 7,922.61/x
  3. Step 3: Cross multiply
    22,713.75x = 34,070.78 × 7,922.61
  4. Step 4: Simplify right side
    22,713.75x = 269,929,462.72
  5. Step 5: Solve for x
    x = 269,929,462.72/22,713.75
  6. Step 6: Final answer
    x = 11,883.97

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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.