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Finding the Fourth Proportional to 6,542, 9,028.36 and 3,709.64

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Solution

The fourth proportional to 6,542, 9,028.36 and 3,709.64 is: 5,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542 : 9,028.36 = 3,709.64 : x
  2. Step 2: Convert to fraction form
    6,542/9,028.36 = 3,709.64/x
  3. Step 3: Cross multiply
    6,542x = 9,028.36 × 3,709.64
  4. Step 4: Simplify right side
    6,542x = 33,491,965.39
  5. Step 5: Solve for x
    x = 33,491,965.39/6,542
  6. Step 6: Final answer
    x = 5,119.53

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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.