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Finding the Fourth Proportional to 6,328.92, 9,494.82 and 1,946.28

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Solution

The fourth proportional to 6,328.92, 9,494.82 and 1,946.28 is: 2,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.92 : 9,494.82 = 1,946.28 : x
  2. Step 2: Convert to fraction form
    6,328.92/9,494.82 = 1,946.28/x
  3. Step 3: Cross multiply
    6,328.92x = 9,494.82 × 1,946.28
  4. Step 4: Simplify right side
    6,328.92x = 18,479,578.27
  5. Step 5: Solve for x
    x = 18,479,578.27/6,328.92
  6. Step 6: Final answer
    x = 2,919.86

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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.