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Finding the Fourth Proportional to 11,805.98, 16,299.03 and 7,832.48

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Solution

The fourth proportional to 11,805.98, 16,299.03 and 7,832.48 is: 10,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.98 : 16,299.03 = 7,832.48 : x
  2. Step 2: Convert to fraction form
    11,805.98/16,299.03 = 7,832.48/x
  3. Step 3: Cross multiply
    11,805.98x = 16,299.03 × 7,832.48
  4. Step 4: Simplify right side
    11,805.98x = 127,661,826.49
  5. Step 5: Solve for x
    x = 127,661,826.49/11,805.98
  6. Step 6: Final answer
    x = 10,813.32

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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.