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Finding the Fourth Proportional to 6,815.70, 9,406.26 and 3,832.26

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Solution

The fourth proportional to 6,815.70, 9,406.26 and 3,832.26 is: 5,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.70 : 9,406.26 = 3,832.26 : x
  2. Step 2: Convert to fraction form
    6,815.70/9,406.26 = 3,832.26/x
  3. Step 3: Cross multiply
    6,815.70x = 9,406.26 × 3,832.26
  4. Step 4: Simplify right side
    6,815.70x = 36,047,233.95
  5. Step 5: Solve for x
    x = 36,047,233.95/6,815.70
  6. Step 6: Final answer
    x = 5,288.85

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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.