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Finding the Fourth Proportional to 11,653.54, 16,086.81 and 11,042.80

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Solution

The fourth proportional to 11,653.54, 16,086.81 and 11,042.80 is: 15,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.54 : 16,086.81 = 11,042.80 : x
  2. Step 2: Convert to fraction form
    11,653.54/16,086.81 = 11,042.80/x
  3. Step 3: Cross multiply
    11,653.54x = 16,086.81 × 11,042.80
  4. Step 4: Simplify right side
    11,653.54x = 177,643,425.47
  5. Step 5: Solve for x
    x = 177,643,425.47/11,653.54
  6. Step 6: Final answer
    x = 15,243.73

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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.