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Finding the Fourth Proportional to 6,794.85, 10,183.91 and 3,238.84

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Solution

The fourth proportional to 6,794.85, 10,183.91 and 3,238.84 is: 4,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.85 : 10,183.91 = 3,238.84 : x
  2. Step 2: Convert to fraction form
    6,794.85/10,183.91 = 3,238.84/x
  3. Step 3: Cross multiply
    6,794.85x = 10,183.91 × 3,238.84
  4. Step 4: Simplify right side
    6,794.85x = 32,984,055.50
  5. Step 5: Solve for x
    x = 32,984,055.50/6,794.85
  6. Step 6: Final answer
    x = 4,854.27

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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.