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Finding the Fourth Proportional to 6,227.70, 9,352.35 and 3,311.70

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Solution

The fourth proportional to 6,227.70, 9,352.35 and 3,311.70 is: 4,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.70 : 9,352.35 = 3,311.70 : x
  2. Step 2: Convert to fraction form
    6,227.70/9,352.35 = 3,311.70/x
  3. Step 3: Cross multiply
    6,227.70x = 9,352.35 × 3,311.70
  4. Step 4: Simplify right side
    6,227.70x = 30,972,177.50
  5. Step 5: Solve for x
    x = 30,972,177.50/6,227.70
  6. Step 6: Final answer
    x = 4,973.29

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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.