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Finding the Fourth Proportional to 7,244.20, 9,991.38 and 5,563

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Solution

The fourth proportional to 7,244.20, 9,991.38 and 5,563 is: 7,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.20 : 9,991.38 = 5,563 : x
  2. Step 2: Convert to fraction form
    7,244.20/9,991.38 = 5,563/x
  3. Step 3: Cross multiply
    7,244.20x = 9,991.38 × 5,563
  4. Step 4: Simplify right side
    7,244.20x = 55,582,046.94
  5. Step 5: Solve for x
    x = 55,582,046.94/7,244.20
  6. Step 6: Final answer
    x = 7,672.63

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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.