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Finding the Fourth Proportional to 6,027, 9,040.66 and 1,923

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Solution

The fourth proportional to 6,027, 9,040.66 and 1,923 is: 2,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027 : 9,040.66 = 1,923 : x
  2. Step 2: Convert to fraction form
    6,027/9,040.66 = 1,923/x
  3. Step 3: Cross multiply
    6,027x = 9,040.66 × 1,923
  4. Step 4: Simplify right side
    6,027x = 17,385,189.18
  5. Step 5: Solve for x
    x = 17,385,189.18/6,027
  6. Step 6: Final answer
    x = 2,884.55

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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.