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Finding the Fourth Proportional to 6,871, 10,306.50 and 2,254

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Solution

The fourth proportional to 6,871, 10,306.50 and 2,254 is: 3,381

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871 : 10,306.50 = 2,254 : x
  2. Step 2: Convert to fraction form
    6,871/10,306.50 = 2,254/x
  3. Step 3: Cross multiply
    6,871x = 10,306.50 × 2,254
  4. Step 4: Simplify right side
    6,871x = 23,230,851
  5. Step 5: Solve for x
    x = 23,230,851/6,871
  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.