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Finding the Fourth Proportional to 22,601.28, 33,893.52 and 7,806.16

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Solution

The fourth proportional to 22,601.28, 33,893.52 and 7,806.16 is: 11,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,601.28 : 33,893.52 = 7,806.16 : x
  2. Step 2: Convert to fraction form
    22,601.28/33,893.52 = 7,806.16/x
  3. Step 3: Cross multiply
    22,601.28x = 33,893.52 × 7,806.16
  4. Step 4: Simplify right side
    22,601.28x = 264,578,240.08
  5. Step 5: Solve for x
    x = 264,578,240.08/22,601.28
  6. Step 6: Final answer
    x = 11,706.34

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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.