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Finding the Fourth Proportional to 8,714, 13,071 and 2,558

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Solution

The fourth proportional to 8,714, 13,071 and 2,558 is: 3,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714 : 13,071 = 2,558 : x
  2. Step 2: Convert to fraction form
    8,714/13,071 = 2,558/x
  3. Step 3: Cross multiply
    8,714x = 13,071 × 2,558
  4. Step 4: Simplify right side
    8,714x = 33,435,618
  5. Step 5: Solve for x
    x = 33,435,618/8,714
  6. Step 6: Final answer
    x = 3,837

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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.