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Finding the Fourth Proportional to 22,375.70, 33,564.80 and 7,382.23

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Solution

The fourth proportional to 22,375.70, 33,564.80 and 7,382.23 is: 11,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375.70 : 33,564.80 = 7,382.23 : x
  2. Step 2: Convert to fraction form
    22,375.70/33,564.80 = 7,382.23/x
  3. Step 3: Cross multiply
    22,375.70x = 33,564.80 × 7,382.23
  4. Step 4: Simplify right side
    22,375.70x = 247,783,073.50
  5. Step 5: Solve for x
    x = 247,783,073.50/22,375.70
  6. Step 6: Final answer
    x = 11,073.76

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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.