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Finding the Fourth Proportional to 25,694.70, 38,542.05 and 7,224.30

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Solution

The fourth proportional to 25,694.70, 38,542.05 and 7,224.30 is: 10,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.70 : 38,542.05 = 7,224.30 : x
  2. Step 2: Convert to fraction form
    25,694.70/38,542.05 = 7,224.30/x
  3. Step 3: Cross multiply
    25,694.70x = 38,542.05 × 7,224.30
  4. Step 4: Simplify right side
    25,694.70x = 278,439,331.82
  5. Step 5: Solve for x
    x = 278,439,331.82/25,694.70
  6. Step 6: Final answer
    x = 10,836.45

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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.