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Finding the Fourth Proportional to 7,997.80, 11,995.74 and 2,454.97

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Solution

The fourth proportional to 7,997.80, 11,995.74 and 2,454.97 is: 3,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.80 : 11,995.74 = 2,454.97 : x
  2. Step 2: Convert to fraction form
    7,997.80/11,995.74 = 2,454.97/x
  3. Step 3: Cross multiply
    7,997.80x = 11,995.74 × 2,454.97
  4. Step 4: Simplify right side
    7,997.80x = 29,449,181.83
  5. Step 5: Solve for x
    x = 29,449,181.83/7,997.80
  6. Step 6: Final answer
    x = 3,682.16

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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.