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Finding the Fourth Proportional to 11,604.59, 16,008.51 and 7,822.97

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Solution

The fourth proportional to 11,604.59, 16,008.51 and 7,822.97 is: 10,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.59 : 16,008.51 = 7,822.97 : x
  2. Step 2: Convert to fraction form
    11,604.59/16,008.51 = 7,822.97/x
  3. Step 3: Cross multiply
    11,604.59x = 16,008.51 × 7,822.97
  4. Step 4: Simplify right side
    11,604.59x = 125,234,162.83
  5. Step 5: Solve for x
    x = 125,234,162.83/11,604.59
  6. Step 6: Final answer
    x = 10,791.78

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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.