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Finding the Fourth Proportional to 4,613.43, 6,906.16 and 2,971.15

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Solution

The fourth proportional to 4,613.43, 6,906.16 and 2,971.15 is: 4,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.43 : 6,906.16 = 2,971.15 : x
  2. Step 2: Convert to fraction form
    4,613.43/6,906.16 = 2,971.15/x
  3. Step 3: Cross multiply
    4,613.43x = 6,906.16 × 2,971.15
  4. Step 4: Simplify right side
    4,613.43x = 20,519,237.28
  5. Step 5: Solve for x
    x = 20,519,237.28/4,613.43
  6. Step 6: Final answer
    x = 4,447.72

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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.