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Finding the Fourth Proportional to 8,230, 12,345 and 2,074

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Solution

The fourth proportional to 8,230, 12,345 and 2,074 is: 3,111

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230 : 12,345 = 2,074 : x
  2. Step 2: Convert to fraction form
    8,230/12,345 = 2,074/x
  3. Step 3: Cross multiply
    8,230x = 12,345 × 2,074
  4. Step 4: Simplify right side
    8,230x = 25,603,530
  5. Step 5: Solve for x
    x = 25,603,530/8,230
  6. Step 6: Final answer
    x = 3,111

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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.