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Finding the Fourth Proportional to 6,066.34, 9,099.51 and 1,683.80

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Solution

The fourth proportional to 6,066.34, 9,099.51 and 1,683.80 is: 2,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.34 : 9,099.51 = 1,683.80 : x
  2. Step 2: Convert to fraction form
    6,066.34/9,099.51 = 1,683.80/x
  3. Step 3: Cross multiply
    6,066.34x = 9,099.51 × 1,683.80
  4. Step 4: Simplify right side
    6,066.34x = 15,321,709.44
  5. Step 5: Solve for x
    x = 15,321,709.44/6,066.34
  6. Step 6: Final answer
    x = 2,525.69

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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.