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Finding the Fourth Proportional to 6,833.36, 10,251.48 and 2,216

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Solution

The fourth proportional to 6,833.36, 10,251.48 and 2,216 is: 3,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.36 : 10,251.48 = 2,216 : x
  2. Step 2: Convert to fraction form
    6,833.36/10,251.48 = 2,216/x
  3. Step 3: Cross multiply
    6,833.36x = 10,251.48 × 2,216
  4. Step 4: Simplify right side
    6,833.36x = 22,717,279.68
  5. Step 5: Solve for x
    x = 22,717,279.68/6,833.36
  6. Step 6: Final answer
    x = 3,324.47

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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.