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Finding the Fourth Proportional to 11,866.82, 16,375.55 and 6,561.28

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Solution

The fourth proportional to 11,866.82, 16,375.55 and 6,561.28 is: 9,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.82 : 16,375.55 = 6,561.28 : x
  2. Step 2: Convert to fraction form
    11,866.82/16,375.55 = 6,561.28/x
  3. Step 3: Cross multiply
    11,866.82x = 16,375.55 × 6,561.28
  4. Step 4: Simplify right side
    11,866.82x = 107,444,556.37
  5. Step 5: Solve for x
    x = 107,444,556.37/11,866.82
  6. Step 6: Final answer
    x = 9,054.20

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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.