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Finding the Fourth Proportional to 9,967.67, 13,755.20 and 5,491.83

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Solution

The fourth proportional to 9,967.67, 13,755.20 and 5,491.83 is: 7,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.67 : 13,755.20 = 5,491.83 : x
  2. Step 2: Convert to fraction form
    9,967.67/13,755.20 = 5,491.83/x
  3. Step 3: Cross multiply
    9,967.67x = 13,755.20 × 5,491.83
  4. Step 4: Simplify right side
    9,967.67x = 75,541,220.02
  5. Step 5: Solve for x
    x = 75,541,220.02/9,967.67
  6. Step 6: Final answer
    x = 7,578.62

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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.