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Finding the Fourth Proportional to 6,109.20, 9,163.80 and 2,005.20

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Solution

The fourth proportional to 6,109.20, 9,163.80 and 2,005.20 is: 3,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.20 : 9,163.80 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    6,109.20/9,163.80 = 2,005.20/x
  3. Step 3: Cross multiply
    6,109.20x = 9,163.80 × 2,005.20
  4. Step 4: Simplify right side
    6,109.20x = 18,375,251.76
  5. Step 5: Solve for x
    x = 18,375,251.76/6,109.20
  6. Step 6: Final answer
    x = 3,007.80

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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.