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Finding the Fourth Proportional to 6,408.96, 8,842.88 and 3,924.48

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Solution

The fourth proportional to 6,408.96, 8,842.88 and 3,924.48 is: 5,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.96 : 8,842.88 = 3,924.48 : x
  2. Step 2: Convert to fraction form
    6,408.96/8,842.88 = 3,924.48/x
  3. Step 3: Cross multiply
    6,408.96x = 8,842.88 × 3,924.48
  4. Step 4: Simplify right side
    6,408.96x = 34,703,705.70
  5. Step 5: Solve for x
    x = 34,703,705.70/6,408.96
  6. Step 6: Final answer
    x = 5,414.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.