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Finding the Fourth Proportional to 6,344, 9,514.15 and 2,447.49

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Solution

The fourth proportional to 6,344, 9,514.15 and 2,447.49 is: 3,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344 : 9,514.15 = 2,447.49 : x
  2. Step 2: Convert to fraction form
    6,344/9,514.15 = 2,447.49/x
  3. Step 3: Cross multiply
    6,344x = 9,514.15 × 2,447.49
  4. Step 4: Simplify right side
    6,344x = 23,285,786.98
  5. Step 5: Solve for x
    x = 23,285,786.98/6,344
  6. Step 6: Final answer
    x = 3,670.52

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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.