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Finding the Fourth Proportional to 6,137.76, 9,208.91 and 3,674.30

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Solution

The fourth proportional to 6,137.76, 9,208.91 and 3,674.30 is: 5,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.76 : 9,208.91 = 3,674.30 : x
  2. Step 2: Convert to fraction form
    6,137.76/9,208.91 = 3,674.30/x
  3. Step 3: Cross multiply
    6,137.76x = 9,208.91 × 3,674.30
  4. Step 4: Simplify right side
    6,137.76x = 33,836,330.22
  5. Step 5: Solve for x
    x = 33,836,330.22/6,137.76
  6. Step 6: Final answer
    x = 5,512.81

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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.