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Finding the Fourth Proportional to 25,451, 38,177.22 and 6,983

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Solution

The fourth proportional to 25,451, 38,177.22 and 6,983 is: 10,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,451 : 38,177.22 = 6,983 : x
  2. Step 2: Convert to fraction form
    25,451/38,177.22 = 6,983/x
  3. Step 3: Cross multiply
    25,451x = 38,177.22 × 6,983
  4. Step 4: Simplify right side
    25,451x = 266,591,527.26
  5. Step 5: Solve for x
    x = 266,591,527.26/25,451
  6. Step 6: Final answer
    x = 10,474.70

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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.