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Finding the Fourth Proportional to 6,408.96, 9,613.98 and 2,026.32

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Solution

The fourth proportional to 6,408.96, 9,613.98 and 2,026.32 is: 3,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.96 : 9,613.98 = 2,026.32 : x
  2. Step 2: Convert to fraction form
    6,408.96/9,613.98 = 2,026.32/x
  3. Step 3: Cross multiply
    6,408.96x = 9,613.98 × 2,026.32
  4. Step 4: Simplify right side
    6,408.96x = 19,480,999.95
  5. Step 5: Solve for x
    x = 19,480,999.95/6,408.96
  6. Step 6: Final answer
    x = 3,039.65

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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.