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Finding the Fourth Proportional to 6,654.94, 9,982.44 and 1,724.23

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Solution

The fourth proportional to 6,654.94, 9,982.44 and 1,724.23 is: 2,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.94 : 9,982.44 = 1,724.23 : x
  2. Step 2: Convert to fraction form
    6,654.94/9,982.44 = 1,724.23/x
  3. Step 3: Cross multiply
    6,654.94x = 9,982.44 × 1,724.23
  4. Step 4: Simplify right side
    6,654.94x = 17,212,022.52
  5. Step 5: Solve for x
    x = 17,212,022.52/6,654.94
  6. Step 6: Final answer
    x = 2,586.35

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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.