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Finding the Fourth Proportional to 6,109.35, 9,164.02 and 2,163.50

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Solution

The fourth proportional to 6,109.35, 9,164.02 and 2,163.50 is: 3,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.35 : 9,164.02 = 2,163.50 : x
  2. Step 2: Convert to fraction form
    6,109.35/9,164.02 = 2,163.50/x
  3. Step 3: Cross multiply
    6,109.35x = 9,164.02 × 2,163.50
  4. Step 4: Simplify right side
    6,109.35x = 19,826,357.27
  5. Step 5: Solve for x
    x = 19,826,357.27/6,109.35
  6. Step 6: Final answer
    x = 3,245.25

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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.