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Finding the Fourth Proportional to 11,858.82, 16,365.16 and 6,553.74

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Solution

The fourth proportional to 11,858.82, 16,365.16 and 6,553.74 is: 9,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.82 : 16,365.16 = 6,553.74 : x
  2. Step 2: Convert to fraction form
    11,858.82/16,365.16 = 6,553.74/x
  3. Step 3: Cross multiply
    11,858.82x = 16,365.16 × 6,553.74
  4. Step 4: Simplify right side
    11,858.82x = 107,253,003.70
  5. Step 5: Solve for x
    x = 107,253,003.70/11,858.82
  6. Step 6: Final answer
    x = 9,044.15

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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.