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Finding the Fourth Proportional to 9,183.54, 13,770.12 and 8,399.86

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Solution

The fourth proportional to 9,183.54, 13,770.12 and 8,399.86 is: 12,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.54 : 13,770.12 = 8,399.86 : x
  2. Step 2: Convert to fraction form
    9,183.54/13,770.12 = 8,399.86/x
  3. Step 3: Cross multiply
    9,183.54x = 13,770.12 × 8,399.86
  4. Step 4: Simplify right side
    9,183.54x = 115,667,097.40
  5. Step 5: Solve for x
    x = 115,667,097.40/9,183.54
  6. Step 6: Final answer
    x = 12,595.05

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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.