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Finding the Fourth Proportional to 6,027, 9,036.90 and 2,512.77

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Solution

The fourth proportional to 6,027, 9,036.90 and 2,512.77 is: 3,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027 : 9,036.90 = 2,512.77 : x
  2. Step 2: Convert to fraction form
    6,027/9,036.90 = 2,512.77/x
  3. Step 3: Cross multiply
    6,027x = 9,036.90 × 2,512.77
  4. Step 4: Simplify right side
    6,027x = 22,707,651.21
  5. Step 5: Solve for x
    x = 22,707,651.21/6,027
  6. Step 6: Final answer
    x = 3,767.65

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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.