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Finding the Fourth Proportional to 4,514.92, 6,770.46 and 1,593.64

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Solution

The fourth proportional to 4,514.92, 6,770.46 and 1,593.64 is: 2,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.92 : 6,770.46 = 1,593.64 : x
  2. Step 2: Convert to fraction form
    4,514.92/6,770.46 = 1,593.64/x
  3. Step 3: Cross multiply
    4,514.92x = 6,770.46 × 1,593.64
  4. Step 4: Simplify right side
    4,514.92x = 10,789,675.87
  5. Step 5: Solve for x
    x = 10,789,675.87/4,514.92
  6. Step 6: Final answer
    x = 2,389.78

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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.