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Finding the Fourth Proportional to 6,414.56, 9,600.12 and 3,950.96

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Solution

The fourth proportional to 6,414.56, 9,600.12 and 3,950.96 is: 5,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.56 : 9,600.12 = 3,950.96 : x
  2. Step 2: Convert to fraction form
    6,414.56/9,600.12 = 3,950.96/x
  3. Step 3: Cross multiply
    6,414.56x = 9,600.12 × 3,950.96
  4. Step 4: Simplify right side
    6,414.56x = 37,929,690.12
  5. Step 5: Solve for x
    x = 37,929,690.12/6,414.56
  6. Step 6: Final answer
    x = 5,913.06

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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.