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Finding the Fourth Proportional to 6,655.26, 9,982.82 and 1,724.90

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Solution

The fourth proportional to 6,655.26, 9,982.82 and 1,724.90 is: 2,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.26 : 9,982.82 = 1,724.90 : x
  2. Step 2: Convert to fraction form
    6,655.26/9,982.82 = 1,724.90/x
  3. Step 3: Cross multiply
    6,655.26x = 9,982.82 × 1,724.90
  4. Step 4: Simplify right side
    6,655.26x = 17,219,366.22
  5. Step 5: Solve for x
    x = 17,219,366.22/6,655.26
  6. Step 6: Final answer
    x = 2,587.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.