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Finding the Fourth Proportional to 22,601.72, 33,896.10 and 7,806.80

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Solution

The fourth proportional to 22,601.72, 33,896.10 and 7,806.80 is: 11,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,601.72 : 33,896.10 = 7,806.80 : x
  2. Step 2: Convert to fraction form
    22,601.72/33,896.10 = 7,806.80/x
  3. Step 3: Cross multiply
    22,601.72x = 33,896.10 × 7,806.80
  4. Step 4: Simplify right side
    22,601.72x = 264,620,073.48
  5. Step 5: Solve for x
    x = 264,620,073.48/22,601.72
  6. Step 6: Final answer
    x = 11,707.96

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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.