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Finding the Fourth Proportional to 25,857.41, 38,786.11 and 7,136.82

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Solution

The fourth proportional to 25,857.41, 38,786.11 and 7,136.82 is: 10,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.41 : 38,786.11 = 7,136.82 : x
  2. Step 2: Convert to fraction form
    25,857.41/38,786.11 = 7,136.82/x
  3. Step 3: Cross multiply
    25,857.41x = 38,786.11 × 7,136.82
  4. Step 4: Simplify right side
    25,857.41x = 276,809,467.73
  5. Step 5: Solve for x
    x = 276,809,467.73/25,857.41
  6. Step 6: Final answer
    x = 10,705.23

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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.