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Finding the Fourth Proportional to 6,806.67, 9,380.93 and 5,035.20

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Solution

The fourth proportional to 6,806.67, 9,380.93 and 5,035.20 is: 6,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.67 : 9,380.93 = 5,035.20 : x
  2. Step 2: Convert to fraction form
    6,806.67/9,380.93 = 5,035.20/x
  3. Step 3: Cross multiply
    6,806.67x = 9,380.93 × 5,035.20
  4. Step 4: Simplify right side
    6,806.67x = 47,234,833.56
  5. Step 5: Solve for x
    x = 47,234,833.56/6,806.67
  6. Step 6: Final answer
    x = 6,939.49

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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.