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Finding the Fourth Proportional to 16,591.70, 22,896.15 and 9,517.67

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Solution

The fourth proportional to 16,591.70, 22,896.15 and 9,517.67 is: 13,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.70 : 22,896.15 = 9,517.67 : x
  2. Step 2: Convert to fraction form
    16,591.70/22,896.15 = 9,517.67/x
  3. Step 3: Cross multiply
    16,591.70x = 22,896.15 × 9,517.67
  4. Step 4: Simplify right side
    16,591.70x = 217,917,999.97
  5. Step 5: Solve for x
    x = 217,917,999.97/16,591.70
  6. Step 6: Final answer
    x = 13,134.16

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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.