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Finding the Fourth Proportional to 11,787.99, 17,658.81 and 6,847.26

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Solution

The fourth proportional to 11,787.99, 17,658.81 and 6,847.26 is: 10,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.99 : 17,658.81 = 6,847.26 : x
  2. Step 2: Convert to fraction form
    11,787.99/17,658.81 = 6,847.26/x
  3. Step 3: Cross multiply
    11,787.99x = 17,658.81 × 6,847.26
  4. Step 4: Simplify right side
    11,787.99x = 120,914,463.36
  5. Step 5: Solve for x
    x = 120,914,463.36/11,787.99
  6. Step 6: Final answer
    x = 10,257.43

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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.