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Finding the Fourth Proportional to 12,334, 17,020.92 and 6,745

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Solution

The fourth proportional to 12,334, 17,020.92 and 6,745 is: 9,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334 : 17,020.92 = 6,745 : x
  2. Step 2: Convert to fraction form
    12,334/17,020.92 = 6,745/x
  3. Step 3: Cross multiply
    12,334x = 17,020.92 × 6,745
  4. Step 4: Simplify right side
    12,334x = 114,806,105.40
  5. Step 5: Solve for x
    x = 114,806,105.40/12,334
  6. Step 6: Final answer
    x = 9,308.10

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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.