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Finding the Fourth Proportional to 25,171.80, 37,757.76 and 7,641.76

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Solution

The fourth proportional to 25,171.80, 37,757.76 and 7,641.76 is: 11,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.80 : 37,757.76 = 7,641.76 : x
  2. Step 2: Convert to fraction form
    25,171.80/37,757.76 = 7,641.76/x
  3. Step 3: Cross multiply
    25,171.80x = 37,757.76 × 7,641.76
  4. Step 4: Simplify right side
    25,171.80x = 288,535,740.06
  5. Step 5: Solve for x
    x = 288,535,740.06/25,171.80
  6. Step 6: Final answer
    x = 11,462.66

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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.