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Finding the Fourth Proportional to 6,057, 9,089.01 and 2,546.73

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Solution

The fourth proportional to 6,057, 9,089.01 and 2,546.73 is: 3,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057 : 9,089.01 = 2,546.73 : x
  2. Step 2: Convert to fraction form
    6,057/9,089.01 = 2,546.73/x
  3. Step 3: Cross multiply
    6,057x = 9,089.01 × 2,546.73
  4. Step 4: Simplify right side
    6,057x = 23,147,254.44
  5. Step 5: Solve for x
    x = 23,147,254.44/6,057
  6. Step 6: Final answer
    x = 3,821.57

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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.