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Finding the Fourth Proportional to 17,067.06, 23,551.92 and 9,513

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Solution

The fourth proportional to 17,067.06, 23,551.92 and 9,513 is: 13,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,067.06 : 23,551.92 = 9,513 : x
  2. Step 2: Convert to fraction form
    17,067.06/23,551.92 = 9,513/x
  3. Step 3: Cross multiply
    17,067.06x = 23,551.92 × 9,513
  4. Step 4: Simplify right side
    17,067.06x = 224,049,414.96
  5. Step 5: Solve for x
    x = 224,049,414.96/17,067.06
  6. Step 6: Final answer
    x = 13,127.59

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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.