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Finding the Fourth Proportional to 8,449, 12,673.74 and 2,293

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Solution

The fourth proportional to 8,449, 12,673.74 and 2,293 is: 3,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449 : 12,673.74 = 2,293 : x
  2. Step 2: Convert to fraction form
    8,449/12,673.74 = 2,293/x
  3. Step 3: Cross multiply
    8,449x = 12,673.74 × 2,293
  4. Step 4: Simplify right side
    8,449x = 29,060,885.82
  5. Step 5: Solve for x
    x = 29,060,885.82/8,449
  6. Step 6: Final answer
    x = 3,439.57

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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.