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Finding the Fourth Proportional to 6,363.90, 9,546.39 and 1,683.86

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Solution

The fourth proportional to 6,363.90, 9,546.39 and 1,683.86 is: 2,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.90 : 9,546.39 = 1,683.86 : x
  2. Step 2: Convert to fraction form
    6,363.90/9,546.39 = 1,683.86/x
  3. Step 3: Cross multiply
    6,363.90x = 9,546.39 × 1,683.86
  4. Step 4: Simplify right side
    6,363.90x = 16,074,736.53
  5. Step 5: Solve for x
    x = 16,074,736.53/6,363.90
  6. Step 6: Final answer
    x = 2,525.93

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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.