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Finding the Fourth Proportional to 6,747.47, 9,311.46 and 3,763.22

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Solution

The fourth proportional to 6,747.47, 9,311.46 and 3,763.22 is: 5,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.47 : 9,311.46 = 3,763.22 : x
  2. Step 2: Convert to fraction form
    6,747.47/9,311.46 = 3,763.22/x
  3. Step 3: Cross multiply
    6,747.47x = 9,311.46 × 3,763.22
  4. Step 4: Simplify right side
    6,747.47x = 35,041,025.94
  5. Step 5: Solve for x
    x = 35,041,025.94/6,747.47
  6. Step 6: Final answer
    x = 5,193.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.