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Finding the Fourth Proportional to 6,393.66, 9,586.56 and 2,493.50

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Solution

The fourth proportional to 6,393.66, 9,586.56 and 2,493.50 is: 3,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.66 : 9,586.56 = 2,493.50 : x
  2. Step 2: Convert to fraction form
    6,393.66/9,586.56 = 2,493.50/x
  3. Step 3: Cross multiply
    6,393.66x = 9,586.56 × 2,493.50
  4. Step 4: Simplify right side
    6,393.66x = 23,904,087.36
  5. Step 5: Solve for x
    x = 23,904,087.36/6,393.66
  6. Step 6: Final answer
    x = 3,738.72

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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.