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Finding the Fourth Proportional to 6,836.85, 10,255.86 and 1,906.50

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Solution

The fourth proportional to 6,836.85, 10,255.86 and 1,906.50 is: 2,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.85 : 10,255.86 = 1,906.50 : x
  2. Step 2: Convert to fraction form
    6,836.85/10,255.86 = 1,906.50/x
  3. Step 3: Cross multiply
    6,836.85x = 10,255.86 × 1,906.50
  4. Step 4: Simplify right side
    6,836.85x = 19,552,797.09
  5. Step 5: Solve for x
    x = 19,552,797.09/6,836.85
  6. Step 6: Final answer
    x = 2,859.91

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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.