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Finding the Fourth Proportional to 7,224.87, 9,963.64 and 5,546.34

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Solution

The fourth proportional to 7,224.87, 9,963.64 and 5,546.34 is: 7,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.87 : 9,963.64 = 5,546.34 : x
  2. Step 2: Convert to fraction form
    7,224.87/9,963.64 = 5,546.34/x
  3. Step 3: Cross multiply
    7,224.87x = 9,963.64 × 5,546.34
  4. Step 4: Simplify right side
    7,224.87x = 55,261,735.08
  5. Step 5: Solve for x
    x = 55,261,735.08/7,224.87
  6. Step 6: Final answer
    x = 7,648.82

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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.