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Finding the Fourth Proportional to 6,311.32, 8,709.92 and 3,659.56

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Solution

The fourth proportional to 6,311.32, 8,709.92 and 3,659.56 is: 5,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.32 : 8,709.92 = 3,659.56 : x
  2. Step 2: Convert to fraction form
    6,311.32/8,709.92 = 3,659.56/x
  3. Step 3: Cross multiply
    6,311.32x = 8,709.92 × 3,659.56
  4. Step 4: Simplify right side
    6,311.32x = 31,874,474.84
  5. Step 5: Solve for x
    x = 31,874,474.84/6,311.32
  6. Step 6: Final answer
    x = 5,050.37

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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.