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Finding the Fourth Proportional to 12,645.31, 17,450.52 and 6,980.06

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Solution

The fourth proportional to 12,645.31, 17,450.52 and 6,980.06 is: 9,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.31 : 17,450.52 = 6,980.06 : x
  2. Step 2: Convert to fraction form
    12,645.31/17,450.52 = 6,980.06/x
  3. Step 3: Cross multiply
    12,645.31x = 17,450.52 × 6,980.06
  4. Step 4: Simplify right side
    12,645.31x = 121,805,589.38
  5. Step 5: Solve for x
    x = 121,805,589.38/12,645.31
  6. Step 6: Final answer
    x = 9,632.48

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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.