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Finding the Fourth Proportional to 23,857.99, 35,777.87 and 7,843.79

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Solution

The fourth proportional to 23,857.99, 35,777.87 and 7,843.79 is: 11,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.99 : 35,777.87 = 7,843.79 : x
  2. Step 2: Convert to fraction form
    23,857.99/35,777.87 = 7,843.79/x
  3. Step 3: Cross multiply
    23,857.99x = 35,777.87 × 7,843.79
  4. Step 4: Simplify right side
    23,857.99x = 280,633,977.32
  5. Step 5: Solve for x
    x = 280,633,977.32/23,857.99
  6. Step 6: Final answer
    x = 11,762.68

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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.