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Finding the Fourth Proportional to 6,408.64, 8,843.90 and 3,614.14

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Solution

The fourth proportional to 6,408.64, 8,843.90 and 3,614.14 is: 4,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.64 : 8,843.90 = 3,614.14 : x
  2. Step 2: Convert to fraction form
    6,408.64/8,843.90 = 3,614.14/x
  3. Step 3: Cross multiply
    6,408.64x = 8,843.90 × 3,614.14
  4. Step 4: Simplify right side
    6,408.64x = 31,963,092.75
  5. Step 5: Solve for x
    x = 31,963,092.75/6,408.64
  6. Step 6: Final answer
    x = 4,987.50

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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.