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Finding the Fourth Proportional to 6,491.73, 9,736.23 and 2,331.98

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Solution

The fourth proportional to 6,491.73, 9,736.23 and 2,331.98 is: 3,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.73 : 9,736.23 = 2,331.98 : x
  2. Step 2: Convert to fraction form
    6,491.73/9,736.23 = 2,331.98/x
  3. Step 3: Cross multiply
    6,491.73x = 9,736.23 × 2,331.98
  4. Step 4: Simplify right side
    6,491.73x = 22,704,639.12
  5. Step 5: Solve for x
    x = 22,704,639.12/6,491.73
  6. Step 6: Final answer
    x = 3,497.47

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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.