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Finding the Fourth Proportional to 9,958.14, 14,896.17 and 8,183.16

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Solution

The fourth proportional to 9,958.14, 14,896.17 and 8,183.16 is: 12,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.14 : 14,896.17 = 8,183.16 : x
  2. Step 2: Convert to fraction form
    9,958.14/14,896.17 = 8,183.16/x
  3. Step 3: Cross multiply
    9,958.14x = 14,896.17 × 8,183.16
  4. Step 4: Simplify right side
    9,958.14x = 121,897,742.50
  5. Step 5: Solve for x
    x = 121,897,742.50/9,958.14
  6. Step 6: Final answer
    x = 12,241.02

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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.