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Finding the Fourth Proportional to 6,326.91, 9,490.41 and 1,944.27

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Solution

The fourth proportional to 6,326.91, 9,490.41 and 1,944.27 is: 2,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.91 : 9,490.41 = 1,944.27 : x
  2. Step 2: Convert to fraction form
    6,326.91/9,490.41 = 1,944.27/x
  3. Step 3: Cross multiply
    6,326.91x = 9,490.41 × 1,944.27
  4. Step 4: Simplify right side
    6,326.91x = 18,451,919.45
  5. Step 5: Solve for x
    x = 18,451,919.45/6,326.91
  6. Step 6: Final answer
    x = 2,916.42

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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.