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Finding the Fourth Proportional to 7,840.11, 11,759.84 and 1,996.86

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Solution

The fourth proportional to 7,840.11, 11,759.84 and 1,996.86 is: 2,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.11 : 11,759.84 = 1,996.86 : x
  2. Step 2: Convert to fraction form
    7,840.11/11,759.84 = 1,996.86/x
  3. Step 3: Cross multiply
    7,840.11x = 11,759.84 × 1,996.86
  4. Step 4: Simplify right side
    7,840.11x = 23,482,744.12
  5. Step 5: Solve for x
    x = 23,482,744.12/7,840.11
  6. Step 6: Final answer
    x = 2,995.21

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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.