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Finding the Fourth Proportional to 6,408.08, 9,606.68 and 2,713.20

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Solution

The fourth proportional to 6,408.08, 9,606.68 and 2,713.20 is: 4,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.08 : 9,606.68 = 2,713.20 : x
  2. Step 2: Convert to fraction form
    6,408.08/9,606.68 = 2,713.20/x
  3. Step 3: Cross multiply
    6,408.08x = 9,606.68 × 2,713.20
  4. Step 4: Simplify right side
    6,408.08x = 26,064,844.18
  5. Step 5: Solve for x
    x = 26,064,844.18/6,408.08
  6. Step 6: Final answer
    x = 4,067.50

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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.