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Finding the Fourth Proportional to 6,517.44, 9,775.68 and 2,074.94

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Solution

The fourth proportional to 6,517.44, 9,775.68 and 2,074.94 is: 3,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.44 : 9,775.68 = 2,074.94 : x
  2. Step 2: Convert to fraction form
    6,517.44/9,775.68 = 2,074.94/x
  3. Step 3: Cross multiply
    6,517.44x = 9,775.68 × 2,074.94
  4. Step 4: Simplify right side
    6,517.44x = 20,283,900.58
  5. Step 5: Solve for x
    x = 20,283,900.58/6,517.44
  6. Step 6: Final answer
    x = 3,112.25

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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.