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Finding the Fourth Proportional to 6,414.34, 9,622.68 and 2,951.50

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Solution

The fourth proportional to 6,414.34, 9,622.68 and 2,951.50 is: 4,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.34 : 9,622.68 = 2,951.50 : x
  2. Step 2: Convert to fraction form
    6,414.34/9,622.68 = 2,951.50/x
  3. Step 3: Cross multiply
    6,414.34x = 9,622.68 × 2,951.50
  4. Step 4: Simplify right side
    6,414.34x = 28,401,340.02
  5. Step 5: Solve for x
    x = 28,401,340.02/6,414.34
  6. Step 6: Final answer
    x = 4,427.79

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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.