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Finding the Fourth Proportional to 6,823.50, 10,238.49 and 2,206.50

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Solution

The fourth proportional to 6,823.50, 10,238.49 and 2,206.50 is: 3,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.50 : 10,238.49 = 2,206.50 : x
  2. Step 2: Convert to fraction form
    6,823.50/10,238.49 = 2,206.50/x
  3. Step 3: Cross multiply
    6,823.50x = 10,238.49 × 2,206.50
  4. Step 4: Simplify right side
    6,823.50x = 22,591,228.19
  5. Step 5: Solve for x
    x = 22,591,228.19/6,823.50
  6. Step 6: Final answer
    x = 3,310.80

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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.