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Finding the Fourth Proportional to 7,226.88, 9,973 and 4,083

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Solution

The fourth proportional to 7,226.88, 9,973 and 4,083 is: 5,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.88 : 9,973 = 4,083 : x
  2. Step 2: Convert to fraction form
    7,226.88/9,973 = 4,083/x
  3. Step 3: Cross multiply
    7,226.88x = 9,973 × 4,083
  4. Step 4: Simplify right side
    7,226.88x = 40,719,759
  5. Step 5: Solve for x
    x = 40,719,759/7,226.88
  6. Step 6: Final answer
    x = 5,634.49

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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.