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Finding the Fourth Proportional to 6,391.44, 9,584.42 and 2,230.20

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Solution

The fourth proportional to 6,391.44, 9,584.42 and 2,230.20 is: 3,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.44 : 9,584.42 = 2,230.20 : x
  2. Step 2: Convert to fraction form
    6,391.44/9,584.42 = 2,230.20/x
  3. Step 3: Cross multiply
    6,391.44x = 9,584.42 × 2,230.20
  4. Step 4: Simplify right side
    6,391.44x = 21,375,162.33
  5. Step 5: Solve for x
    x = 21,375,162.33/6,391.44
  6. Step 6: Final answer
    x = 3,344.34

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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.