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Finding the Fourth Proportional to 11,600.14, 16,008.06 and 6,294.96

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Solution

The fourth proportional to 11,600.14, 16,008.06 and 6,294.96 is: 8,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.14 : 16,008.06 = 6,294.96 : x
  2. Step 2: Convert to fraction form
    11,600.14/16,008.06 = 6,294.96/x
  3. Step 3: Cross multiply
    11,600.14x = 16,008.06 × 6,294.96
  4. Step 4: Simplify right side
    11,600.14x = 100,770,097.38
  5. Step 5: Solve for x
    x = 100,770,097.38/11,600.14
  6. Step 6: Final answer
    x = 8,686.97

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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.