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Finding the Fourth Proportional to 22,640.46, 33,947.46 and 6,840.78

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Solution

The fourth proportional to 22,640.46, 33,947.46 and 6,840.78 is: 10,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.46 : 33,947.46 = 6,840.78 : x
  2. Step 2: Convert to fraction form
    22,640.46/33,947.46 = 6,840.78/x
  3. Step 3: Cross multiply
    22,640.46x = 33,947.46 × 6,840.78
  4. Step 4: Simplify right side
    22,640.46x = 232,227,105.42
  5. Step 5: Solve for x
    x = 232,227,105.42/22,640.46
  6. Step 6: Final answer
    x = 10,257.17

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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.