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Finding the Fourth Proportional to 6,227, 9,340.50 and 2,333.24

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Solution

The fourth proportional to 6,227, 9,340.50 and 2,333.24 is: 3,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227 : 9,340.50 = 2,333.24 : x
  2. Step 2: Convert to fraction form
    6,227/9,340.50 = 2,333.24/x
  3. Step 3: Cross multiply
    6,227x = 9,340.50 × 2,333.24
  4. Step 4: Simplify right side
    6,227x = 21,793,628.22
  5. Step 5: Solve for x
    x = 21,793,628.22/6,227
  6. Step 6: Final answer
    x = 3,499.86

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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.