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Finding the Fourth Proportional to 6,383.64, 9,575.46 and 1,766.52

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Solution

The fourth proportional to 6,383.64, 9,575.46 and 1,766.52 is: 2,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.64 : 9,575.46 = 1,766.52 : x
  2. Step 2: Convert to fraction form
    6,383.64/9,575.46 = 1,766.52/x
  3. Step 3: Cross multiply
    6,383.64x = 9,575.46 × 1,766.52
  4. Step 4: Simplify right side
    6,383.64x = 16,915,241.60
  5. Step 5: Solve for x
    x = 16,915,241.60/6,383.64
  6. Step 6: Final answer
    x = 2,649.78

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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.