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Finding the Fourth Proportional to 6,197.36, 9,296.86 and 3,275.78

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Solution

The fourth proportional to 6,197.36, 9,296.86 and 3,275.78 is: 4,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.36 : 9,296.86 = 3,275.78 : x
  2. Step 2: Convert to fraction form
    6,197.36/9,296.86 = 3,275.78/x
  3. Step 3: Cross multiply
    6,197.36x = 9,296.86 × 3,275.78
  4. Step 4: Simplify right side
    6,197.36x = 30,454,468.05
  5. Step 5: Solve for x
    x = 30,454,468.05/6,197.36
  6. Step 6: Final answer
    x = 4,914.10

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1.5x scale

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.