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Finding the Fourth Proportional to 11,654.41, 16,078.87 and 7,623.54

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Solution

The fourth proportional to 11,654.41, 16,078.87 and 7,623.54 is: 10,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.41 : 16,078.87 = 7,623.54 : x
  2. Step 2: Convert to fraction form
    11,654.41/16,078.87 = 7,623.54/x
  3. Step 3: Cross multiply
    11,654.41x = 16,078.87 × 7,623.54
  4. Step 4: Simplify right side
    11,654.41x = 122,577,949.34
  5. Step 5: Solve for x
    x = 122,577,949.34/11,654.41
  6. Step 6: Final answer
    x = 10,517.73

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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.