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Finding the Fourth Proportional to 6,809.26, 10,208.28 and 2,647.12

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Solution

The fourth proportional to 6,809.26, 10,208.28 and 2,647.12 is: 3,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.26 : 10,208.28 = 2,647.12 : x
  2. Step 2: Convert to fraction form
    6,809.26/10,208.28 = 2,647.12/x
  3. Step 3: Cross multiply
    6,809.26x = 10,208.28 × 2,647.12
  4. Step 4: Simplify right side
    6,809.26x = 27,022,542.15
  5. Step 5: Solve for x
    x = 27,022,542.15/6,809.26
  6. Step 6: Final answer
    x = 3,968.50

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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.