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Finding the Fourth Proportional to 6,822.59, 10,227.90 and 5,662.22

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Solution

The fourth proportional to 6,822.59, 10,227.90 and 5,662.22 is: 8,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.59 : 10,227.90 = 5,662.22 : x
  2. Step 2: Convert to fraction form
    6,822.59/10,227.90 = 5,662.22/x
  3. Step 3: Cross multiply
    6,822.59x = 10,227.90 × 5,662.22
  4. Step 4: Simplify right side
    6,822.59x = 57,912,619.94
  5. Step 5: Solve for x
    x = 57,912,619.94/6,822.59
  6. Step 6: Final answer
    x = 8,488.36

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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.