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Finding the Fourth Proportional to 11,843.80, 16,344.22 and 6,538.51

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Solution

The fourth proportional to 11,843.80, 16,344.22 and 6,538.51 is: 9,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.80 : 16,344.22 = 6,538.51 : x
  2. Step 2: Convert to fraction form
    11,843.80/16,344.22 = 6,538.51/x
  3. Step 3: Cross multiply
    11,843.80x = 16,344.22 × 6,538.51
  4. Step 4: Simplify right side
    11,843.80x = 106,866,845.91
  5. Step 5: Solve for x
    x = 106,866,845.91/11,843.80
  6. Step 6: Final answer
    x = 9,023.02

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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.