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Finding the Fourth Proportional to 22,712.34, 34,073.07 and 7,917.30

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Solution

The fourth proportional to 22,712.34, 34,073.07 and 7,917.30 is: 11,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.34 : 34,073.07 = 7,917.30 : x
  2. Step 2: Convert to fraction form
    22,712.34/34,073.07 = 7,917.30/x
  3. Step 3: Cross multiply
    22,712.34x = 34,073.07 × 7,917.30
  4. Step 4: Simplify right side
    22,712.34x = 269,766,717.11
  5. Step 5: Solve for x
    x = 269,766,717.11/22,712.34
  6. Step 6: Final answer
    x = 11,877.54

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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.