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Finding the Fourth Proportional to 7,996.83, 11,996.67 and 3,844.37

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Solution

The fourth proportional to 7,996.83, 11,996.67 and 3,844.37 is: 5,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.83 : 11,996.67 = 3,844.37 : x
  2. Step 2: Convert to fraction form
    7,996.83/11,996.67 = 3,844.37/x
  3. Step 3: Cross multiply
    7,996.83x = 11,996.67 × 3,844.37
  4. Step 4: Simplify right side
    7,996.83x = 46,119,593.84
  5. Step 5: Solve for x
    x = 46,119,593.84/7,996.83
  6. Step 6: Final answer
    x = 5,767.23

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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.