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Finding the Fourth Proportional to 6,183.66, 9,277.86 and 3,720.22

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Solution

The fourth proportional to 6,183.66, 9,277.86 and 3,720.22 is: 5,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.66 : 9,277.86 = 3,720.22 : x
  2. Step 2: Convert to fraction form
    6,183.66/9,277.86 = 3,720.22/x
  3. Step 3: Cross multiply
    6,183.66x = 9,277.86 × 3,720.22
  4. Step 4: Simplify right side
    6,183.66x = 34,515,680.33
  5. Step 5: Solve for x
    x = 34,515,680.33/6,183.66
  6. Step 6: Final answer
    x = 5,581.76

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1.5x scale

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.