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Finding the Fourth Proportional to 11,866.39, 16,375.96 and 6,561.55

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Solution

The fourth proportional to 11,866.39, 16,375.96 and 6,561.55 is: 9,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.39 : 16,375.96 = 6,561.55 : x
  2. Step 2: Convert to fraction form
    11,866.39/16,375.96 = 6,561.55/x
  3. Step 3: Cross multiply
    11,866.39x = 16,375.96 × 6,561.55
  4. Step 4: Simplify right side
    11,866.39x = 107,451,680.34
  5. Step 5: Solve for x
    x = 107,451,680.34/11,866.39
  6. Step 6: Final answer
    x = 9,055.13

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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.