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Finding the Fourth Proportional to 12,474.23, 17,218.08 and 8,167.97

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Solution

The fourth proportional to 12,474.23, 17,218.08 and 8,167.97 is: 11,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.23 : 17,218.08 = 8,167.97 : x
  2. Step 2: Convert to fraction form
    12,474.23/17,218.08 = 8,167.97/x
  3. Step 3: Cross multiply
    12,474.23x = 17,218.08 × 8,167.97
  4. Step 4: Simplify right side
    12,474.23x = 140,636,803.94
  5. Step 5: Solve for x
    x = 140,636,803.94/12,474.23
  6. Step 6: Final answer
    x = 11,274.19

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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.