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Finding the Fourth Proportional to 12,098.72, 16,701.84 and 8,072.24

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Solution

The fourth proportional to 12,098.72, 16,701.84 and 8,072.24 is: 11,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.72 : 16,701.84 = 8,072.24 : x
  2. Step 2: Convert to fraction form
    12,098.72/16,701.84 = 8,072.24/x
  3. Step 3: Cross multiply
    12,098.72x = 16,701.84 × 8,072.24
  4. Step 4: Simplify right side
    12,098.72x = 134,821,177.41
  5. Step 5: Solve for x
    x = 134,821,177.41/12,098.72
  6. Step 6: Final answer
    x = 11,143.43

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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.