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Finding the Fourth Proportional to 6,065.97, 9,099.60 and 1,683.44

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Solution

The fourth proportional to 6,065.97, 9,099.60 and 1,683.44 is: 2,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.97 : 9,099.60 = 1,683.44 : x
  2. Step 2: Convert to fraction form
    6,065.97/9,099.60 = 1,683.44/x
  3. Step 3: Cross multiply
    6,065.97x = 9,099.60 × 1,683.44
  4. Step 4: Simplify right side
    6,065.97x = 15,318,630.62
  5. Step 5: Solve for x
    x = 15,318,630.62/6,065.97
  6. Step 6: Final answer
    x = 2,525.34

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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.