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Finding the Fourth Proportional to 11,600.52, 16,008.72 and 6,295.33

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Solution

The fourth proportional to 11,600.52, 16,008.72 and 6,295.33 is: 8,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.52 : 16,008.72 = 6,295.33 : x
  2. Step 2: Convert to fraction form
    11,600.52/16,008.72 = 6,295.33/x
  3. Step 3: Cross multiply
    11,600.52x = 16,008.72 × 6,295.33
  4. Step 4: Simplify right side
    11,600.52x = 100,780,231.04
  5. Step 5: Solve for x
    x = 100,780,231.04/11,600.52
  6. Step 6: Final answer
    x = 8,687.56

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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.