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Finding the Fourth Proportional to 6,177, 9,266.91 and 1,794.81

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Solution

The fourth proportional to 6,177, 9,266.91 and 1,794.81 is: 2,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 9,266.91 = 1,794.81 : x
  2. Step 2: Convert to fraction form
    6,177/9,266.91 = 1,794.81/x
  3. Step 3: Cross multiply
    6,177x = 9,266.91 × 1,794.81
  4. Step 4: Simplify right side
    6,177x = 16,632,342.74
  5. Step 5: Solve for x
    x = 16,632,342.74/6,177
  6. Step 6: Final answer
    x = 2,692.62

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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.