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Finding the Fourth Proportional to 6,166.46, 9,246.12 and 3,392.46

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Solution

The fourth proportional to 6,166.46, 9,246.12 and 3,392.46 is: 5,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.46 : 9,246.12 = 3,392.46 : x
  2. Step 2: Convert to fraction form
    6,166.46/9,246.12 = 3,392.46/x
  3. Step 3: Cross multiply
    6,166.46x = 9,246.12 × 3,392.46
  4. Step 4: Simplify right side
    6,166.46x = 31,367,092.26
  5. Step 5: Solve for x
    x = 31,367,092.26/6,166.46
  6. Step 6: Final answer
    x = 5,086.73

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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.