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Finding the Fourth Proportional to 18,602.70, 27,906.64 and 9,838.24

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Solution

The fourth proportional to 18,602.70, 27,906.64 and 9,838.24 is: 14,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,602.70 : 27,906.64 = 9,838.24 : x
  2. Step 2: Convert to fraction form
    18,602.70/27,906.64 = 9,838.24/x
  3. Step 3: Cross multiply
    18,602.70x = 27,906.64 × 9,838.24
  4. Step 4: Simplify right side
    18,602.70x = 274,552,221.91
  5. Step 5: Solve for x
    x = 274,552,221.91/18,602.70
  6. Step 6: Final answer
    x = 14,758.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.