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Finding the Fourth Proportional to 6,833.25, 10,250.46 and 2,216.25

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Solution

The fourth proportional to 6,833.25, 10,250.46 and 2,216.25 is: 3,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.25 : 10,250.46 = 2,216.25 : x
  2. Step 2: Convert to fraction form
    6,833.25/10,250.46 = 2,216.25/x
  3. Step 3: Cross multiply
    6,833.25x = 10,250.46 × 2,216.25
  4. Step 4: Simplify right side
    6,833.25x = 22,717,581.98
  5. Step 5: Solve for x
    x = 22,717,581.98/6,833.25
  6. Step 6: Final answer
    x = 3,324.56

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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.