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Finding the Fourth Proportional to 22,378.14, 33,569.94 and 7,591.29

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Solution

The fourth proportional to 22,378.14, 33,569.94 and 7,591.29 is: 11,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.14 : 33,569.94 = 7,591.29 : x
  2. Step 2: Convert to fraction form
    22,378.14/33,569.94 = 7,591.29/x
  3. Step 3: Cross multiply
    22,378.14x = 33,569.94 × 7,591.29
  4. Step 4: Simplify right side
    22,378.14x = 254,839,052.40
  5. Step 5: Solve for x
    x = 254,839,052.40/22,378.14
  6. Step 6: Final answer
    x = 11,387.86

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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.