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Finding the Fourth Proportional to 9,099.44, 13,651.36 and 8,231.68

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Solution

The fourth proportional to 9,099.44, 13,651.36 and 8,231.68 is: 12,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.44 : 13,651.36 = 8,231.68 : x
  2. Step 2: Convert to fraction form
    9,099.44/13,651.36 = 8,231.68/x
  3. Step 3: Cross multiply
    9,099.44x = 13,651.36 × 8,231.68
  4. Step 4: Simplify right side
    9,099.44x = 112,373,627.08
  5. Step 5: Solve for x
    x = 112,373,627.08/9,099.44
  6. Step 6: Final answer
    x = 12,349.51

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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.