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Finding the Fourth Proportional to 7,244, 9,997.80 and 4,451.12

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Solution

The fourth proportional to 7,244, 9,997.80 and 4,451.12 is: 6,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244 : 9,997.80 = 4,451.12 : x
  2. Step 2: Convert to fraction form
    7,244/9,997.80 = 4,451.12/x
  3. Step 3: Cross multiply
    7,244x = 9,997.80 × 4,451.12
  4. Step 4: Simplify right side
    7,244x = 44,501,407.54
  5. Step 5: Solve for x
    x = 44,501,407.54/7,244
  6. Step 6: Final answer
    x = 6,143.21

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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.