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Finding the Fourth Proportional to 6,408.91, 9,613.31 and 2,026.37

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Solution

The fourth proportional to 6,408.91, 9,613.31 and 2,026.37 is: 3,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.91 : 9,613.31 = 2,026.37 : x
  2. Step 2: Convert to fraction form
    6,408.91/9,613.31 = 2,026.37/x
  3. Step 3: Cross multiply
    6,408.91x = 9,613.31 × 2,026.37
  4. Step 4: Simplify right side
    6,408.91x = 19,480,100.84
  5. Step 5: Solve for x
    x = 19,480,100.84/6,408.91
  6. Step 6: Final answer
    x = 3,039.53

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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.