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Finding the Fourth Proportional to 11,002, 15,183.48 and 6,034

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Solution

The fourth proportional to 11,002, 15,183.48 and 6,034 is: 8,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002 : 15,183.48 = 6,034 : x
  2. Step 2: Convert to fraction form
    11,002/15,183.48 = 6,034/x
  3. Step 3: Cross multiply
    11,002x = 15,183.48 × 6,034
  4. Step 4: Simplify right side
    11,002x = 91,617,118.32
  5. Step 5: Solve for x
    x = 91,617,118.32/11,002
  6. Step 6: Final answer
    x = 8,327.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.