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Finding the Fourth Proportional to 22,640.34, 33,952.82 and 7,845.80

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Solution

The fourth proportional to 22,640.34, 33,952.82 and 7,845.80 is: 11,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.34 : 33,952.82 = 7,845.80 : x
  2. Step 2: Convert to fraction form
    22,640.34/33,952.82 = 7,845.80/x
  3. Step 3: Cross multiply
    22,640.34x = 33,952.82 × 7,845.80
  4. Step 4: Simplify right side
    22,640.34x = 266,387,035.16
  5. Step 5: Solve for x
    x = 266,387,035.16/22,640.34
  6. Step 6: Final answer
    x = 11,766.04

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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.