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Finding the Fourth Proportional to 6,408.93, 8,843.99 and 3,614.25

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Solution

The fourth proportional to 6,408.93, 8,843.99 and 3,614.25 is: 4,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.93 : 8,843.99 = 3,614.25 : x
  2. Step 2: Convert to fraction form
    6,408.93/8,843.99 = 3,614.25/x
  3. Step 3: Cross multiply
    6,408.93x = 8,843.99 × 3,614.25
  4. Step 4: Simplify right side
    6,408.93x = 31,964,372.79
  5. Step 5: Solve for x
    x = 31,964,372.79/6,408.93
  6. Step 6: Final answer
    x = 4,987.47

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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.