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Finding the Fourth Proportional to 6,383.86, 9,575.07 and 1,766.50

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Solution

The fourth proportional to 6,383.86, 9,575.07 and 1,766.50 is: 2,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.86 : 9,575.07 = 1,766.50 : x
  2. Step 2: Convert to fraction form
    6,383.86/9,575.07 = 1,766.50/x
  3. Step 3: Cross multiply
    6,383.86x = 9,575.07 × 1,766.50
  4. Step 4: Simplify right side
    6,383.86x = 16,914,361.16
  5. Step 5: Solve for x
    x = 16,914,361.16/6,383.86
  6. Step 6: Final answer
    x = 2,649.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.