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Finding the Fourth Proportional to 6,049, 9,073.56 and 2,153.56

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Solution

The fourth proportional to 6,049, 9,073.56 and 2,153.56 is: 3,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049 : 9,073.56 = 2,153.56 : x
  2. Step 2: Convert to fraction form
    6,049/9,073.56 = 2,153.56/x
  3. Step 3: Cross multiply
    6,049x = 9,073.56 × 2,153.56
  4. Step 4: Simplify right side
    6,049x = 19,540,455.87
  5. Step 5: Solve for x
    x = 19,540,455.87/6,049
  6. Step 6: Final answer
    x = 3,230.36

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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.