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Finding the Fourth Proportional to 9,082.80, 13,614.48 and 3,820.68

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Solution

The fourth proportional to 9,082.80, 13,614.48 and 3,820.68 is: 5,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.80 : 13,614.48 = 3,820.68 : x
  2. Step 2: Convert to fraction form
    9,082.80/13,614.48 = 3,820.68/x
  3. Step 3: Cross multiply
    9,082.80x = 13,614.48 × 3,820.68
  4. Step 4: Simplify right side
    9,082.80x = 52,016,571.45
  5. Step 5: Solve for x
    x = 52,016,571.45/9,082.80
  6. Step 6: Final answer
    x = 5,726.93

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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.