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Finding the Fourth Proportional to 6,647.66, 9,974.37 and 3,566.06

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Solution

The fourth proportional to 6,647.66, 9,974.37 and 3,566.06 is: 5,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.66 : 9,974.37 = 3,566.06 : x
  2. Step 2: Convert to fraction form
    6,647.66/9,974.37 = 3,566.06/x
  3. Step 3: Cross multiply
    6,647.66x = 9,974.37 × 3,566.06
  4. Step 4: Simplify right side
    6,647.66x = 35,569,201.88
  5. Step 5: Solve for x
    x = 35,569,201.88/6,647.66
  6. Step 6: Final answer
    x = 5,350.63

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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.