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Finding the Fourth Proportional to 4,714, 7,071 and 1,636

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Solution

The fourth proportional to 4,714, 7,071 and 1,636 is: 2,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714 : 7,071 = 1,636 : x
  2. Step 2: Convert to fraction form
    4,714/7,071 = 1,636/x
  3. Step 3: Cross multiply
    4,714x = 7,071 × 1,636
  4. Step 4: Simplify right side
    4,714x = 11,568,156
  5. Step 5: Solve for x
    x = 11,568,156/4,714
  6. Step 6: Final answer
    x = 2,454

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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.