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Finding the Fourth Proportional to 8,618, 12,927 and 2,462

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Solution

The fourth proportional to 8,618, 12,927 and 2,462 is: 3,693

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618 : 12,927 = 2,462 : x
  2. Step 2: Convert to fraction form
    8,618/12,927 = 2,462/x
  3. Step 3: Cross multiply
    8,618x = 12,927 × 2,462
  4. Step 4: Simplify right side
    8,618x = 31,826,274
  5. Step 5: Solve for x
    x = 31,826,274/8,618
  6. Step 6: Final answer
    x = 3,693

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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.