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Finding the Fourth Proportional to 6,536, 9,019.68 and 3,741.44

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Solution

The fourth proportional to 6,536, 9,019.68 and 3,741.44 is: 5,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536 : 9,019.68 = 3,741.44 : x
  2. Step 2: Convert to fraction form
    6,536/9,019.68 = 3,741.44/x
  3. Step 3: Cross multiply
    6,536x = 9,019.68 × 3,741.44
  4. Step 4: Simplify right side
    6,536x = 33,746,591.54
  5. Step 5: Solve for x
    x = 33,746,591.54/6,536
  6. Step 6: Final answer
    x = 5,163.19

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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.