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Finding the Fourth Proportional to 12,440, 18,660.36 and 3,206

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Solution

The fourth proportional to 12,440, 18,660.36 and 3,206 is: 4,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440 : 18,660.36 = 3,206 : x
  2. Step 2: Convert to fraction form
    12,440/18,660.36 = 3,206/x
  3. Step 3: Cross multiply
    12,440x = 18,660.36 × 3,206
  4. Step 4: Simplify right side
    12,440x = 59,825,114.16
  5. Step 5: Solve for x
    x = 59,825,114.16/12,440
  6. Step 6: Final answer
    x = 4,809.09

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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.