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Finding the Fourth Proportional to 6,178.49, 9,269.09 and 1,796.28

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Solution

The fourth proportional to 6,178.49, 9,269.09 and 1,796.28 is: 2,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.49 : 9,269.09 = 1,796.28 : x
  2. Step 2: Convert to fraction form
    6,178.49/9,269.09 = 1,796.28/x
  3. Step 3: Cross multiply
    6,178.49x = 9,269.09 × 1,796.28
  4. Step 4: Simplify right side
    6,178.49x = 16,649,913.50
  5. Step 5: Solve for x
    x = 16,649,913.50/6,178.49
  6. Step 6: Final answer
    x = 2,694.82

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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.