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Finding the Fourth Proportional to 4,676.46, 6,453.71 and 2,687.68

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Solution

The fourth proportional to 4,676.46, 6,453.71 and 2,687.68 is: 3,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.46 : 6,453.71 = 2,687.68 : x
  2. Step 2: Convert to fraction form
    4,676.46/6,453.71 = 2,687.68/x
  3. Step 3: Cross multiply
    4,676.46x = 6,453.71 × 2,687.68
  4. Step 4: Simplify right side
    4,676.46x = 17,345,507.29
  5. Step 5: Solve for x
    x = 17,345,507.29/4,676.46
  6. Step 6: Final answer
    x = 3,709.11

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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.