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Finding the Fourth Proportional to 25,164.80, 37,747.29 and 7,634.78

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Solution

The fourth proportional to 25,164.80, 37,747.29 and 7,634.78 is: 11,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,164.80 : 37,747.29 = 7,634.78 : x
  2. Step 2: Convert to fraction form
    25,164.80/37,747.29 = 7,634.78/x
  3. Step 3: Cross multiply
    25,164.80x = 37,747.29 × 7,634.78
  4. Step 4: Simplify right side
    25,164.80x = 288,192,254.75
  5. Step 5: Solve for x
    x = 288,192,254.75/25,164.80
  6. Step 6: Final answer
    x = 11,452.20

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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.