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Finding the Fourth Proportional to 25,710.73, 38,563.66 and 8,177.47

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Solution

The fourth proportional to 25,710.73, 38,563.66 and 8,177.47 is: 12,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.73 : 38,563.66 = 8,177.47 : x
  2. Step 2: Convert to fraction form
    25,710.73/38,563.66 = 8,177.47/x
  3. Step 3: Cross multiply
    25,710.73x = 38,563.66 × 8,177.47
  4. Step 4: Simplify right side
    25,710.73x = 315,353,086.55
  5. Step 5: Solve for x
    x = 315,353,086.55/25,710.73
  6. Step 6: Final answer
    x = 12,265.43

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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.