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Finding the Fourth Proportional to 11,993.98, 16,553.84 and 7,521.60

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Solution

The fourth proportional to 11,993.98, 16,553.84 and 7,521.60 is: 10,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.98 : 16,553.84 = 7,521.60 : x
  2. Step 2: Convert to fraction form
    11,993.98/16,553.84 = 7,521.60/x
  3. Step 3: Cross multiply
    11,993.98x = 16,553.84 × 7,521.60
  4. Step 4: Simplify right side
    11,993.98x = 124,511,362.94
  5. Step 5: Solve for x
    x = 124,511,362.94/11,993.98
  6. Step 6: Final answer
    x = 10,381.15

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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.