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Finding the Fourth Proportional to 7,992.83, 11,987.62 and 2,149.49

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Solution

The fourth proportional to 7,992.83, 11,987.62 and 2,149.49 is: 3,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.83 : 11,987.62 = 2,149.49 : x
  2. Step 2: Convert to fraction form
    7,992.83/11,987.62 = 2,149.49/x
  3. Step 3: Cross multiply
    7,992.83x = 11,987.62 × 2,149.49
  4. Step 4: Simplify right side
    7,992.83x = 25,767,269.31
  5. Step 5: Solve for x
    x = 25,767,269.31/7,992.83
  6. Step 6: Final answer
    x = 3,223.80

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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.