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Finding the Fourth Proportional to 12,546.74, 17,313.82 and 6,957.38

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Solution

The fourth proportional to 12,546.74, 17,313.82 and 6,957.38 is: 9,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.74 : 17,313.82 = 6,957.38 : x
  2. Step 2: Convert to fraction form
    12,546.74/17,313.82 = 6,957.38/x
  3. Step 3: Cross multiply
    12,546.74x = 17,313.82 × 6,957.38
  4. Step 4: Simplify right side
    12,546.74x = 120,458,721.03
  5. Step 5: Solve for x
    x = 120,458,721.03/12,546.74
  6. Step 6: Final answer
    x = 9,600.80

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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.