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Finding the Fourth Proportional to 6,499.67, 9,750.32 and 2,551.06

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Solution

The fourth proportional to 6,499.67, 9,750.32 and 2,551.06 is: 3,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.67 : 9,750.32 = 2,551.06 : x
  2. Step 2: Convert to fraction form
    6,499.67/9,750.32 = 2,551.06/x
  3. Step 3: Cross multiply
    6,499.67x = 9,750.32 × 2,551.06
  4. Step 4: Simplify right side
    6,499.67x = 24,873,589.83
  5. Step 5: Solve for x
    x = 24,873,589.83/6,499.67
  6. Step 6: Final answer
    x = 3,826.90

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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.