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Finding the Fourth Proportional to 12,174.63, 18,262.01 and 3,966.63

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Solution

The fourth proportional to 12,174.63, 18,262.01 and 3,966.63 is: 5,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.63 : 18,262.01 = 3,966.63 : x
  2. Step 2: Convert to fraction form
    12,174.63/18,262.01 = 3,966.63/x
  3. Step 3: Cross multiply
    12,174.63x = 18,262.01 × 3,966.63
  4. Step 4: Simplify right side
    12,174.63x = 72,438,636.73
  5. Step 5: Solve for x
    x = 72,438,636.73/12,174.63
  6. Step 6: Final answer
    x = 5,949.97

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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.