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Finding the Fourth Proportional to 6,630.24, 9,944.16 and 2,469.30

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Solution

The fourth proportional to 6,630.24, 9,944.16 and 2,469.30 is: 3,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.24 : 9,944.16 = 2,469.30 : x
  2. Step 2: Convert to fraction form
    6,630.24/9,944.16 = 2,469.30/x
  3. Step 3: Cross multiply
    6,630.24x = 9,944.16 × 2,469.30
  4. Step 4: Simplify right side
    6,630.24x = 24,555,114.29
  5. Step 5: Solve for x
    x = 24,555,114.29/6,630.24
  6. Step 6: Final answer
    x = 3,703.50

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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.