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Finding the Fourth Proportional to 6,491.48, 9,732.69 and 3,203.82

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Solution

The fourth proportional to 6,491.48, 9,732.69 and 3,203.82 is: 4,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.48 : 9,732.69 = 3,203.82 : x
  2. Step 2: Convert to fraction form
    6,491.48/9,732.69 = 3,203.82/x
  3. Step 3: Cross multiply
    6,491.48x = 9,732.69 × 3,203.82
  4. Step 4: Simplify right side
    6,491.48x = 31,181,786.88
  5. Step 5: Solve for x
    x = 31,181,786.88/6,491.48
  6. Step 6: Final answer
    x = 4,803.50

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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.