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Finding the Fourth Proportional to 6,595.16, 9,892.74 and 2,648.22

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Solution

The fourth proportional to 6,595.16, 9,892.74 and 2,648.22 is: 3,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.16 : 9,892.74 = 2,648.22 : x
  2. Step 2: Convert to fraction form
    6,595.16/9,892.74 = 2,648.22/x
  3. Step 3: Cross multiply
    6,595.16x = 9,892.74 × 2,648.22
  4. Step 4: Simplify right side
    6,595.16x = 26,198,151.92
  5. Step 5: Solve for x
    x = 26,198,151.92/6,595.16
  6. Step 6: Final answer
    x = 3,972.33

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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.