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Finding the Fourth Proportional to 22,612.92, 33,934.38 and 9,296.82

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Solution

The fourth proportional to 22,612.92, 33,934.38 and 9,296.82 is: 13,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.92 : 33,934.38 = 9,296.82 : x
  2. Step 2: Convert to fraction form
    22,612.92/33,934.38 = 9,296.82/x
  3. Step 3: Cross multiply
    22,612.92x = 33,934.38 × 9,296.82
  4. Step 4: Simplify right side
    22,612.92x = 315,481,822.67
  5. Step 5: Solve for x
    x = 315,481,822.67/22,612.92
  6. Step 6: Final answer
    x = 13,951.40

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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.