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Finding the Fourth Proportional to 6,674.75, 10,008.75 and 2,230.83

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Solution

The fourth proportional to 6,674.75, 10,008.75 and 2,230.83 is: 3,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.75 : 10,008.75 = 2,230.83 : x
  2. Step 2: Convert to fraction form
    6,674.75/10,008.75 = 2,230.83/x
  3. Step 3: Cross multiply
    6,674.75x = 10,008.75 × 2,230.83
  4. Step 4: Simplify right side
    6,674.75x = 22,327,874.25
  5. Step 5: Solve for x
    x = 22,327,874.25/6,674.75
  6. Step 6: Final answer
    x = 3,345.12

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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.