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Finding the Fourth Proportional to 22,786.58, 34,179.64 and 7,204.20

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Solution

The fourth proportional to 22,786.58, 34,179.64 and 7,204.20 is: 10,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.58 : 34,179.64 = 7,204.20 : x
  2. Step 2: Convert to fraction form
    22,786.58/34,179.64 = 7,204.20/x
  3. Step 3: Cross multiply
    22,786.58x = 34,179.64 × 7,204.20
  4. Step 4: Simplify right side
    22,786.58x = 246,236,962.49
  5. Step 5: Solve for x
    x = 246,236,962.49/22,786.58
  6. Step 6: Final answer
    x = 10,806.23

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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.