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Finding the Fourth Proportional to 7,198.88, 9,928.98 and 4,964.49

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Solution

The fourth proportional to 7,198.88, 9,928.98 and 4,964.49 is: 6,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.88 : 9,928.98 = 4,964.49 : x
  2. Step 2: Convert to fraction form
    7,198.88/9,928.98 = 4,964.49/x
  3. Step 3: Cross multiply
    7,198.88x = 9,928.98 × 4,964.49
  4. Step 4: Simplify right side
    7,198.88x = 49,292,321.92
  5. Step 5: Solve for x
    x = 49,292,321.92/7,198.88
  6. Step 6: Final answer
    x = 6,847.23

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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.