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Finding the Fourth Proportional to 7,226.73, 9,971.28 and 4,201.38

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Solution

The fourth proportional to 7,226.73, 9,971.28 and 4,201.38 is: 5,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.73 : 9,971.28 = 4,201.38 : x
  2. Step 2: Convert to fraction form
    7,226.73/9,971.28 = 4,201.38/x
  3. Step 3: Cross multiply
    7,226.73x = 9,971.28 × 4,201.38
  4. Step 4: Simplify right side
    7,226.73x = 41,893,136.37
  5. Step 5: Solve for x
    x = 41,893,136.37/7,226.73
  6. Step 6: Final answer
    x = 5,796.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.