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Finding the Fourth Proportional to 12,414, 18,621.48 and 4,206

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Solution

The fourth proportional to 12,414, 18,621.48 and 4,206 is: 6,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 18,621.48 = 4,206 : x
  2. Step 2: Convert to fraction form
    12,414/18,621.48 = 4,206/x
  3. Step 3: Cross multiply
    12,414x = 18,621.48 × 4,206
  4. Step 4: Simplify right side
    12,414x = 78,321,944.88
  5. Step 5: Solve for x
    x = 78,321,944.88/12,414
  6. Step 6: Final answer
    x = 6,309.16

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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.