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Finding the Fourth Proportional to 4,676.62, 6,453.93 and 2,687.80

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Solution

The fourth proportional to 4,676.62, 6,453.93 and 2,687.80 is: 3,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.62 : 6,453.93 = 2,687.80 : x
  2. Step 2: Convert to fraction form
    4,676.62/6,453.93 = 2,687.80/x
  3. Step 3: Cross multiply
    4,676.62x = 6,453.93 × 2,687.80
  4. Step 4: Simplify right side
    4,676.62x = 17,346,859.62
  5. Step 5: Solve for x
    x = 17,346,859.62/4,676.62
  6. Step 6: Final answer
    x = 3,709.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.