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Finding the Fourth Proportional to 6,491.91, 9,730.53 and 3,198.09

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Solution

The fourth proportional to 6,491.91, 9,730.53 and 3,198.09 is: 4,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.91 : 9,730.53 = 3,198.09 : x
  2. Step 2: Convert to fraction form
    6,491.91/9,730.53 = 3,198.09/x
  3. Step 3: Cross multiply
    6,491.91x = 9,730.53 × 3,198.09
  4. Step 4: Simplify right side
    6,491.91x = 31,119,110.69
  5. Step 5: Solve for x
    x = 31,119,110.69/6,491.91
  6. Step 6: Final answer
    x = 4,793.52

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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.