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Finding the Fourth Proportional to 6,491.61, 9,736.04 and 2,331.86

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Solution

The fourth proportional to 6,491.61, 9,736.04 and 2,331.86 is: 3,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.61 : 9,736.04 = 2,331.86 : x
  2. Step 2: Convert to fraction form
    6,491.61/9,736.04 = 2,331.86/x
  3. Step 3: Cross multiply
    6,491.61x = 9,736.04 × 2,331.86
  4. Step 4: Simplify right side
    6,491.61x = 22,703,039.38
  5. Step 5: Solve for x
    x = 22,703,039.38/6,491.61
  6. Step 6: Final answer
    x = 3,497.29

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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.