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Finding the Fourth Proportional to 6,392.45, 9,586.35 and 2,231.69

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Solution

The fourth proportional to 6,392.45, 9,586.35 and 2,231.69 is: 3,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.45 : 9,586.35 = 2,231.69 : x
  2. Step 2: Convert to fraction form
    6,392.45/9,586.35 = 2,231.69/x
  3. Step 3: Cross multiply
    6,392.45x = 9,586.35 × 2,231.69
  4. Step 4: Simplify right side
    6,392.45x = 21,393,713.50
  5. Step 5: Solve for x
    x = 21,393,713.50/6,392.45
  6. Step 6: Final answer
    x = 3,346.71

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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.