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Finding the Fourth Proportional to 16,738, 23,098.92 and 9,286.48

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Solution

The fourth proportional to 16,738, 23,098.92 and 9,286.48 is: 12,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738 : 23,098.92 = 9,286.48 : x
  2. Step 2: Convert to fraction form
    16,738/23,098.92 = 9,286.48/x
  3. Step 3: Cross multiply
    16,738x = 23,098.92 × 9,286.48
  4. Step 4: Simplify right side
    16,738x = 214,507,658.60
  5. Step 5: Solve for x
    x = 214,507,658.60/16,738
  6. Step 6: Final answer
    x = 12,815.61

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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.