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Finding the Fourth Proportional to 7,118, 10,677 and 2,254

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Solution

The fourth proportional to 7,118, 10,677 and 2,254 is: 3,381

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118 : 10,677 = 2,254 : x
  2. Step 2: Convert to fraction form
    7,118/10,677 = 2,254/x
  3. Step 3: Cross multiply
    7,118x = 10,677 × 2,254
  4. Step 4: Simplify right side
    7,118x = 24,065,958
  5. Step 5: Solve for x
    x = 24,065,958/7,118
  6. Step 6: Final answer
    x = 3,381

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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.