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Finding the Fourth Proportional to 6,817, 10,227.12 and 2,200

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Solution

The fourth proportional to 6,817, 10,227.12 and 2,200 is: 3,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817 : 10,227.12 = 2,200 : x
  2. Step 2: Convert to fraction form
    6,817/10,227.12 = 2,200/x
  3. Step 3: Cross multiply
    6,817x = 10,227.12 × 2,200
  4. Step 4: Simplify right side
    6,817x = 22,499,664
  5. Step 5: Solve for x
    x = 22,499,664/6,817
  6. Step 6: Final answer
    x = 3,300.52

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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.