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Finding the Fourth Proportional to 8,983.98, 13,474.16 and 2,408.64

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Solution

The fourth proportional to 8,983.98, 13,474.16 and 2,408.64 is: 3,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.98 : 13,474.16 = 2,408.64 : x
  2. Step 2: Convert to fraction form
    8,983.98/13,474.16 = 2,408.64/x
  3. Step 3: Cross multiply
    8,983.98x = 13,474.16 × 2,408.64
  4. Step 4: Simplify right side
    8,983.98x = 32,454,388.70
  5. Step 5: Solve for x
    x = 32,454,388.70/8,983.98
  6. Step 6: Final answer
    x = 3,612.47

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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.