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Finding the Fourth Proportional to 6,631.73, 9,151.70 and 3,647.54

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Solution

The fourth proportional to 6,631.73, 9,151.70 and 3,647.54 is: 5,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.73 : 9,151.70 = 3,647.54 : x
  2. Step 2: Convert to fraction form
    6,631.73/9,151.70 = 3,647.54/x
  3. Step 3: Cross multiply
    6,631.73x = 9,151.70 × 3,647.54
  4. Step 4: Simplify right side
    6,631.73x = 33,381,191.82
  5. Step 5: Solve for x
    x = 33,381,191.82/6,631.73
  6. Step 6: Final answer
    x = 5,033.56

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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.