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Finding the Fourth Proportional to 23,786.93, 35,684.49 and 7,993.47

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Solution

The fourth proportional to 23,786.93, 35,684.49 and 7,993.47 is: 11,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.93 : 35,684.49 = 7,993.47 : x
  2. Step 2: Convert to fraction form
    23,786.93/35,684.49 = 7,993.47/x
  3. Step 3: Cross multiply
    23,786.93x = 35,684.49 × 7,993.47
  4. Step 4: Simplify right side
    23,786.93x = 285,242,900.28
  5. Step 5: Solve for x
    x = 285,242,900.28/23,786.93
  6. Step 6: Final answer
    x = 11,991.58

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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.