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Finding the Fourth Proportional to 6,794.82, 10,178.39 and 6,227.82

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Solution

The fourth proportional to 6,794.82, 10,178.39 and 6,227.82 is: 9,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.82 : 10,178.39 = 6,227.82 : x
  2. Step 2: Convert to fraction form
    6,794.82/10,178.39 = 6,227.82/x
  3. Step 3: Cross multiply
    6,794.82x = 10,178.39 × 6,227.82
  4. Step 4: Simplify right side
    6,794.82x = 63,389,196.38
  5. Step 5: Solve for x
    x = 63,389,196.38/6,794.82
  6. Step 6: Final answer
    x = 9,329.05

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1.5x scale

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.