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Finding the Fourth Proportional to 22,242.70, 33,365.82 and 6,447.97

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Solution

The fourth proportional to 22,242.70, 33,365.82 and 6,447.97 is: 9,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242.70 : 33,365.82 = 6,447.97 : x
  2. Step 2: Convert to fraction form
    22,242.70/33,365.82 = 6,447.97/x
  3. Step 3: Cross multiply
    22,242.70x = 33,365.82 × 6,447.97
  4. Step 4: Simplify right side
    22,242.70x = 215,141,806.39
  5. Step 5: Solve for x
    x = 215,141,806.39/22,242.70
  6. Step 6: Final answer
    x = 9,672.47

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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.