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Finding the Fourth Proportional to 6,595.25, 9,892.79 and 2,648.25

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Solution

The fourth proportional to 6,595.25, 9,892.79 and 2,648.25 is: 3,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.25 : 9,892.79 = 2,648.25 : x
  2. Step 2: Convert to fraction form
    6,595.25/9,892.79 = 2,648.25/x
  3. Step 3: Cross multiply
    6,595.25x = 9,892.79 × 2,648.25
  4. Step 4: Simplify right side
    6,595.25x = 26,198,567.88
  5. Step 5: Solve for x
    x = 26,198,567.88/6,595.25
  6. Step 6: Final answer
    x = 3,972.34

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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.