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Finding the Fourth Proportional to 6,414.70, 9,619.02 and 3,296.20

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Solution

The fourth proportional to 6,414.70, 9,619.02 and 3,296.20 is: 4,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.70 : 9,619.02 = 3,296.20 : x
  2. Step 2: Convert to fraction form
    6,414.70/9,619.02 = 3,296.20/x
  3. Step 3: Cross multiply
    6,414.70x = 9,619.02 × 3,296.20
  4. Step 4: Simplify right side
    6,414.70x = 31,706,213.72
  5. Step 5: Solve for x
    x = 31,706,213.72/6,414.70
  6. Step 6: Final answer
    x = 4,942.74

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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.