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Finding the Fourth Proportional to 6,631.97, 9,151.83 and 3,647.61

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Solution

The fourth proportional to 6,631.97, 9,151.83 and 3,647.61 is: 5,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.97 : 9,151.83 = 3,647.61 : x
  2. Step 2: Convert to fraction form
    6,631.97/9,151.83 = 3,647.61/x
  3. Step 3: Cross multiply
    6,631.97x = 9,151.83 × 3,647.61
  4. Step 4: Simplify right side
    6,631.97x = 33,382,289.47
  5. Step 5: Solve for x
    x = 33,382,289.47/6,631.97
  6. Step 6: Final answer
    x = 5,033.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.