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Finding the Fourth Proportional to 25,663.49, 38,489.42 and 8,123.75

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Solution

The fourth proportional to 25,663.49, 38,489.42 and 8,123.75 is: 12,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.49 : 38,489.42 = 8,123.75 : x
  2. Step 2: Convert to fraction form
    25,663.49/38,489.42 = 8,123.75/x
  3. Step 3: Cross multiply
    25,663.49x = 38,489.42 × 8,123.75
  4. Step 4: Simplify right side
    25,663.49x = 312,678,253.59
  5. Step 5: Solve for x
    x = 312,678,253.59/25,663.49
  6. Step 6: Final answer
    x = 12,183.78

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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.