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Finding the Fourth Proportional to 6,328.43, 9,493.55 and 1,946.26

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Solution

The fourth proportional to 6,328.43, 9,493.55 and 1,946.26 is: 2,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.43 : 9,493.55 = 1,946.26 : x
  2. Step 2: Convert to fraction form
    6,328.43/9,493.55 = 1,946.26/x
  3. Step 3: Cross multiply
    6,328.43x = 9,493.55 × 1,946.26
  4. Step 4: Simplify right side
    6,328.43x = 18,476,869.16
  5. Step 5: Solve for x
    x = 18,476,869.16/6,328.43
  6. Step 6: Final answer
    x = 2,919.66

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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.