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Finding the Fourth Proportional to 12,791.78, 17,653.92 and 7,486.28

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Solution

The fourth proportional to 12,791.78, 17,653.92 and 7,486.28 is: 10,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.78 : 17,653.92 = 7,486.28 : x
  2. Step 2: Convert to fraction form
    12,791.78/17,653.92 = 7,486.28/x
  3. Step 3: Cross multiply
    12,791.78x = 17,653.92 × 7,486.28
  4. Step 4: Simplify right side
    12,791.78x = 132,162,188.22
  5. Step 5: Solve for x
    x = 132,162,188.22/12,791.78
  6. Step 6: Final answer
    x = 10,331.81

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1.5x scale

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.