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Finding the Fourth Proportional to 15,123.14, 20,867.56 and 8,408.75

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Solution

The fourth proportional to 15,123.14, 20,867.56 and 8,408.75 is: 11,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.14 : 20,867.56 = 8,408.75 : x
  2. Step 2: Convert to fraction form
    15,123.14/20,867.56 = 8,408.75/x
  3. Step 3: Cross multiply
    15,123.14x = 20,867.56 × 8,408.75
  4. Step 4: Simplify right side
    15,123.14x = 175,469,969.79
  5. Step 5: Solve for x
    x = 175,469,969.79/15,123.14
  6. Step 6: Final answer
    x = 11,602.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.