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Finding the Fourth Proportional to 12,910.33, 17,814.94 and 7,872.13

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Solution

The fourth proportional to 12,910.33, 17,814.94 and 7,872.13 is: 10,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.33 : 17,814.94 = 7,872.13 : x
  2. Step 2: Convert to fraction form
    12,910.33/17,814.94 = 7,872.13/x
  3. Step 3: Cross multiply
    12,910.33x = 17,814.94 × 7,872.13
  4. Step 4: Simplify right side
    12,910.33x = 140,241,523.62
  5. Step 5: Solve for x
    x = 140,241,523.62/12,910.33
  6. Step 6: Final answer
    x = 10,862.74

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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.