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Finding the Fourth Proportional to 12,647.85, 17,453.28 and 6,982.46

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Solution

The fourth proportional to 12,647.85, 17,453.28 and 6,982.46 is: 9,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.85 : 17,453.28 = 6,982.46 : x
  2. Step 2: Convert to fraction form
    12,647.85/17,453.28 = 6,982.46/x
  3. Step 3: Cross multiply
    12,647.85x = 17,453.28 × 6,982.46
  4. Step 4: Simplify right side
    12,647.85x = 121,866,863.29
  5. Step 5: Solve for x
    x = 121,866,863.29/12,647.85
  6. Step 6: Final answer
    x = 9,635.38

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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.