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Finding the Fourth Proportional to 6,451.80, 9,660.32 and 3,367.32

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Solution

The fourth proportional to 6,451.80, 9,660.32 and 3,367.32 is: 5,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.80 : 9,660.32 = 3,367.32 : x
  2. Step 2: Convert to fraction form
    6,451.80/9,660.32 = 3,367.32/x
  3. Step 3: Cross multiply
    6,451.80x = 9,660.32 × 3,367.32
  4. Step 4: Simplify right side
    6,451.80x = 32,529,388.74
  5. Step 5: Solve for x
    x = 32,529,388.74/6,451.80
  6. Step 6: Final answer
    x = 5,041.91

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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.