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Finding the Fourth Proportional to 6,213.22, 9,324.15 and 4,016.50

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Solution

The fourth proportional to 6,213.22, 9,324.15 and 4,016.50 is: 6,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.22 : 9,324.15 = 4,016.50 : x
  2. Step 2: Convert to fraction form
    6,213.22/9,324.15 = 4,016.50/x
  3. Step 3: Cross multiply
    6,213.22x = 9,324.15 × 4,016.50
  4. Step 4: Simplify right side
    6,213.22x = 37,450,448.48
  5. Step 5: Solve for x
    x = 37,450,448.48/6,213.22
  6. Step 6: Final answer
    x = 6,027.54

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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.