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Finding the Fourth Proportional to 6,149.57, 9,226.14 and 3,653.04

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Solution

The fourth proportional to 6,149.57, 9,226.14 and 3,653.04 is: 5,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.57 : 9,226.14 = 3,653.04 : x
  2. Step 2: Convert to fraction form
    6,149.57/9,226.14 = 3,653.04/x
  3. Step 3: Cross multiply
    6,149.57x = 9,226.14 × 3,653.04
  4. Step 4: Simplify right side
    6,149.57x = 33,703,479.36
  5. Step 5: Solve for x
    x = 33,703,479.36/6,149.57
  6. Step 6: Final answer
    x = 5,480.63

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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.