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Finding the Fourth Proportional to 23,786.98, 35,682.36 and 7,992.07

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Solution

The fourth proportional to 23,786.98, 35,682.36 and 7,992.07 is: 11,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.98 : 35,682.36 = 7,992.07 : x
  2. Step 2: Convert to fraction form
    23,786.98/35,682.36 = 7,992.07/x
  3. Step 3: Cross multiply
    23,786.98x = 35,682.36 × 7,992.07
  4. Step 4: Simplify right side
    23,786.98x = 285,175,918.89
  5. Step 5: Solve for x
    x = 285,175,918.89/23,786.98
  6. Step 6: Final answer
    x = 11,988.74

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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.