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Finding the Fourth Proportional to 12,649.62, 17,456.38 and 6,984.37

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Solution

The fourth proportional to 12,649.62, 17,456.38 and 6,984.37 is: 9,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.62 : 17,456.38 = 6,984.37 : x
  2. Step 2: Convert to fraction form
    12,649.62/17,456.38 = 6,984.37/x
  3. Step 3: Cross multiply
    12,649.62x = 17,456.38 × 6,984.37
  4. Step 4: Simplify right side
    12,649.62x = 121,921,755.68
  5. Step 5: Solve for x
    x = 121,921,755.68/12,649.62
  6. Step 6: Final answer
    x = 9,638.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.