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Finding the Fourth Proportional to 22,578.16, 33,868.86 and 7,786.86

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Solution

The fourth proportional to 22,578.16, 33,868.86 and 7,786.86 is: 11,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.16 : 33,868.86 = 7,786.86 : x
  2. Step 2: Convert to fraction form
    22,578.16/33,868.86 = 7,786.86/x
  3. Step 3: Cross multiply
    22,578.16x = 33,868.86 × 7,786.86
  4. Step 4: Simplify right side
    22,578.16x = 263,732,071.18
  5. Step 5: Solve for x
    x = 263,732,071.18/22,578.16
  6. Step 6: Final answer
    x = 11,680.85

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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.