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Finding the Fourth Proportional to 6,659.20, 9,986.56 and 3,194.24

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Solution

The fourth proportional to 6,659.20, 9,986.56 and 3,194.24 is: 4,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.20 : 9,986.56 = 3,194.24 : x
  2. Step 2: Convert to fraction form
    6,659.20/9,986.56 = 3,194.24/x
  3. Step 3: Cross multiply
    6,659.20x = 9,986.56 × 3,194.24
  4. Step 4: Simplify right side
    6,659.20x = 31,899,469.41
  5. Step 5: Solve for x
    x = 31,899,469.41/6,659.20
  6. Step 6: Final answer
    x = 4,790.29

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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.