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Finding the Fourth Proportional to 13,867.92, 20,806.74 and 6,082.20

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Solution

The fourth proportional to 13,867.92, 20,806.74 and 6,082.20 is: 9,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.92 : 20,806.74 = 6,082.20 : x
  2. Step 2: Convert to fraction form
    13,867.92/20,806.74 = 6,082.20/x
  3. Step 3: Cross multiply
    13,867.92x = 20,806.74 × 6,082.20
  4. Step 4: Simplify right side
    13,867.92x = 126,550,754.03
  5. Step 5: Solve for x
    x = 126,550,754.03/13,867.92
  6. Step 6: Final answer
    x = 9,125.43

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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.