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Finding the Fourth Proportional to 8,140.56, 12,194.46 and 6,169.56

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Solution

The fourth proportional to 8,140.56, 12,194.46 and 6,169.56 is: 9,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.56 : 12,194.46 = 6,169.56 : x
  2. Step 2: Convert to fraction form
    8,140.56/12,194.46 = 6,169.56/x
  3. Step 3: Cross multiply
    8,140.56x = 12,194.46 × 6,169.56
  4. Step 4: Simplify right side
    8,140.56x = 75,234,452.64
  5. Step 5: Solve for x
    x = 75,234,452.64/8,140.56
  6. Step 6: Final answer
    x = 9,241.93

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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.