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Finding the Fourth Proportional to 16,638.57, 22,961.22 and 9,186.57

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Solution

The fourth proportional to 16,638.57, 22,961.22 and 9,186.57 is: 12,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.57 : 22,961.22 = 9,186.57 : x
  2. Step 2: Convert to fraction form
    16,638.57/22,961.22 = 9,186.57/x
  3. Step 3: Cross multiply
    16,638.57x = 22,961.22 × 9,186.57
  4. Step 4: Simplify right side
    16,638.57x = 210,934,854.82
  5. Step 5: Solve for x
    x = 210,934,854.82/16,638.57
  6. Step 6: Final answer
    x = 12,677.46

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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.