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Finding the Fourth Proportional to 22,406.31, 33,614.91 and 6,823.94

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Solution

The fourth proportional to 22,406.31, 33,614.91 and 6,823.94 is: 10,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.31 : 33,614.91 = 6,823.94 : x
  2. Step 2: Convert to fraction form
    22,406.31/33,614.91 = 6,823.94/x
  3. Step 3: Cross multiply
    22,406.31x = 33,614.91 × 6,823.94
  4. Step 4: Simplify right side
    22,406.31x = 229,385,960.87
  5. Step 5: Solve for x
    x = 229,385,960.87/22,406.31
  6. Step 6: Final answer
    x = 10,237.56

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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.