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Finding the Fourth Proportional to 6,822.24, 9,409.92 and 4,027.68

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Solution

The fourth proportional to 6,822.24, 9,409.92 and 4,027.68 is: 5,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.24 : 9,409.92 = 4,027.68 : x
  2. Step 2: Convert to fraction form
    6,822.24/9,409.92 = 4,027.68/x
  3. Step 3: Cross multiply
    6,822.24x = 9,409.92 × 4,027.68
  4. Step 4: Simplify right side
    6,822.24x = 37,900,146.59
  5. Step 5: Solve for x
    x = 37,900,146.59/6,822.24
  6. Step 6: Final answer
    x = 5,555.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.