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Finding the Fourth Proportional to 12,410.40, 18,616.97 and 3,646

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Solution

The fourth proportional to 12,410.40, 18,616.97 and 3,646 is: 5,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.40 : 18,616.97 = 3,646 : x
  2. Step 2: Convert to fraction form
    12,410.40/18,616.97 = 3,646/x
  3. Step 3: Cross multiply
    12,410.40x = 18,616.97 × 3,646
  4. Step 4: Simplify right side
    12,410.40x = 67,877,472.62
  5. Step 5: Solve for x
    x = 67,877,472.62/12,410.40
  6. Step 6: Final answer
    x = 5,469.40

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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.