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Finding the Fourth Proportional to 12,252.27, 16,906.38 and 6,946.06

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Solution

The fourth proportional to 12,252.27, 16,906.38 and 6,946.06 is: 9,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.27 : 16,906.38 = 6,946.06 : x
  2. Step 2: Convert to fraction form
    12,252.27/16,906.38 = 6,946.06/x
  3. Step 3: Cross multiply
    12,252.27x = 16,906.38 × 6,946.06
  4. Step 4: Simplify right side
    12,252.27x = 117,432,729.86
  5. Step 5: Solve for x
    x = 117,432,729.86/12,252.27
  6. Step 6: Final answer
    x = 9,584.57

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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.