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Finding the Fourth Proportional to 6,641.44, 9,163.84 and 4,156

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Solution

The fourth proportional to 6,641.44, 9,163.84 and 4,156 is: 5,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.44 : 9,163.84 = 4,156 : x
  2. Step 2: Convert to fraction form
    6,641.44/9,163.84 = 4,156/x
  3. Step 3: Cross multiply
    6,641.44x = 9,163.84 × 4,156
  4. Step 4: Simplify right side
    6,641.44x = 38,084,919.04
  5. Step 5: Solve for x
    x = 38,084,919.04/6,641.44
  6. Step 6: Final answer
    x = 5,734.44

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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.