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Finding the Fourth Proportional to 20,139.46, 30,202.00 and 7,656.17

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Solution

The fourth proportional to 20,139.46, 30,202.00 and 7,656.17 is: 11,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.46 : 30,202.00 = 7,656.17 : x
  2. Step 2: Convert to fraction form
    20,139.46/30,202.00 = 7,656.17/x
  3. Step 3: Cross multiply
    20,139.46x = 30,202.00 × 7,656.17
  4. Step 4: Simplify right side
    20,139.46x = 231,231,476.19
  5. Step 5: Solve for x
    x = 231,231,476.19/20,139.46
  6. Step 6: Final answer
    x = 11,481.51

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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.