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Finding the Fourth Proportional to 6,427.50, 9,634.68 and 3,648.30

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Solution

The fourth proportional to 6,427.50, 9,634.68 and 3,648.30 is: 5,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.50 : 9,634.68 = 3,648.30 : x
  2. Step 2: Convert to fraction form
    6,427.50/9,634.68 = 3,648.30/x
  3. Step 3: Cross multiply
    6,427.50x = 9,634.68 × 3,648.30
  4. Step 4: Simplify right side
    6,427.50x = 35,150,203.04
  5. Step 5: Solve for x
    x = 35,150,203.04/6,427.50
  6. Step 6: Final answer
    x = 5,468.72

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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.