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Finding the Fourth Proportional to 6,311.03, 9,472.41 and 3,193.24

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Solution

The fourth proportional to 6,311.03, 9,472.41 and 3,193.24 is: 4,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.03 : 9,472.41 = 3,193.24 : x
  2. Step 2: Convert to fraction form
    6,311.03/9,472.41 = 3,193.24/x
  3. Step 3: Cross multiply
    6,311.03x = 9,472.41 × 3,193.24
  4. Step 4: Simplify right side
    6,311.03x = 30,247,678.51
  5. Step 5: Solve for x
    x = 30,247,678.51/6,311.03
  6. Step 6: Final answer
    x = 4,792.83

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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.