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Finding the Fourth Proportional to 12,273.34, 16,937.21 and 6,684.34

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Solution

The fourth proportional to 12,273.34, 16,937.21 and 6,684.34 is: 9,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.34 : 16,937.21 = 6,684.34 : x
  2. Step 2: Convert to fraction form
    12,273.34/16,937.21 = 6,684.34/x
  3. Step 3: Cross multiply
    12,273.34x = 16,937.21 × 6,684.34
  4. Step 4: Simplify right side
    12,273.34x = 113,214,070.29
  5. Step 5: Solve for x
    x = 113,214,070.29/12,273.34
  6. Step 6: Final answer
    x = 9,224.39

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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.