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Finding the Fourth Proportional to 26,706.16, 40,067.28 and 7,986.82

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Solution

The fourth proportional to 26,706.16, 40,067.28 and 7,986.82 is: 11,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.16 : 40,067.28 = 7,986.82 : x
  2. Step 2: Convert to fraction form
    26,706.16/40,067.28 = 7,986.82/x
  3. Step 3: Cross multiply
    26,706.16x = 40,067.28 × 7,986.82
  4. Step 4: Simplify right side
    26,706.16x = 320,010,153.25
  5. Step 5: Solve for x
    x = 320,010,153.25/26,706.16
  6. Step 6: Final answer
    x = 11,982.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.