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Finding the Fourth Proportional to 6,409.49, 9,615.24 and 2,027.97

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Solution

The fourth proportional to 6,409.49, 9,615.24 and 2,027.97 is: 3,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.49 : 9,615.24 = 2,027.97 : x
  2. Step 2: Convert to fraction form
    6,409.49/9,615.24 = 2,027.97/x
  3. Step 3: Cross multiply
    6,409.49x = 9,615.24 × 2,027.97
  4. Step 4: Simplify right side
    6,409.49x = 19,499,418.26
  5. Step 5: Solve for x
    x = 19,499,418.26/6,409.49
  6. Step 6: Final answer
    x = 3,042.28

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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.