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Finding the Fourth Proportional to 7,334, 10,998.84 and 2,138.64

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Solution

The fourth proportional to 7,334, 10,998.84 and 2,138.64 is: 3,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334 : 10,998.84 = 2,138.64 : x
  2. Step 2: Convert to fraction form
    7,334/10,998.84 = 2,138.64/x
  3. Step 3: Cross multiply
    7,334x = 10,998.84 × 2,138.64
  4. Step 4: Simplify right side
    7,334x = 23,522,559.18
  5. Step 5: Solve for x
    x = 23,522,559.18/7,334
  6. Step 6: Final answer
    x = 3,207.33

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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.