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Finding the Fourth Proportional to 8,451, 12,676.74 and 2,295

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Solution

The fourth proportional to 8,451, 12,676.74 and 2,295 is: 3,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451 : 12,676.74 = 2,295 : x
  2. Step 2: Convert to fraction form
    8,451/12,676.74 = 2,295/x
  3. Step 3: Cross multiply
    8,451x = 12,676.74 × 2,295
  4. Step 4: Simplify right side
    8,451x = 29,093,118.30
  5. Step 5: Solve for x
    x = 29,093,118.30/8,451
  6. Step 6: Final answer
    x = 3,442.57

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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.