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Finding the Fourth Proportional to 6,171.96, 9,253.82 and 3,399.96

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Solution

The fourth proportional to 6,171.96, 9,253.82 and 3,399.96 is: 5,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.96 : 9,253.82 = 3,399.96 : x
  2. Step 2: Convert to fraction form
    6,171.96/9,253.82 = 3,399.96/x
  3. Step 3: Cross multiply
    6,171.96x = 9,253.82 × 3,399.96
  4. Step 4: Simplify right side
    6,171.96x = 31,462,617.85
  5. Step 5: Solve for x
    x = 31,462,617.85/6,171.96
  6. Step 6: Final answer
    x = 5,097.67

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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.