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Finding the Fourth Proportional to 10,099.44, 13,944.06 and 6,324.12

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Solution

The fourth proportional to 10,099.44, 13,944.06 and 6,324.12 is: 8,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.44 : 13,944.06 = 6,324.12 : x
  2. Step 2: Convert to fraction form
    10,099.44/13,944.06 = 6,324.12/x
  3. Step 3: Cross multiply
    10,099.44x = 13,944.06 × 6,324.12
  4. Step 4: Simplify right side
    10,099.44x = 88,183,908.73
  5. Step 5: Solve for x
    x = 88,183,908.73/10,099.44
  6. Step 6: Final answer
    x = 8,731.56

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1.5x scale

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.