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Finding the Fourth Proportional to 12,687.49, 17,491.96 and 10,410.49

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Solution

The fourth proportional to 12,687.49, 17,491.96 and 10,410.49 is: 14,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.49 : 17,491.96 = 10,410.49 : x
  2. Step 2: Convert to fraction form
    12,687.49/17,491.96 = 10,410.49/x
  3. Step 3: Cross multiply
    12,687.49x = 17,491.96 × 10,410.49
  4. Step 4: Simplify right side
    12,687.49x = 182,099,874.66
  5. Step 5: Solve for x
    x = 182,099,874.66/12,687.49
  6. Step 6: Final answer
    x = 14,352.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.