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Finding the Fourth Proportional to 12,638.38, 17,440.70 and 6,972.92

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Solution

The fourth proportional to 12,638.38, 17,440.70 and 6,972.92 is: 9,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.38 : 17,440.70 = 6,972.92 : x
  2. Step 2: Convert to fraction form
    12,638.38/17,440.70 = 6,972.92/x
  3. Step 3: Cross multiply
    12,638.38x = 17,440.70 × 6,972.92
  4. Step 4: Simplify right side
    12,638.38x = 121,612,518.64
  5. Step 5: Solve for x
    x = 121,612,518.64/12,638.38
  6. Step 6: Final answer
    x = 9,622.48

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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.