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Finding the Fourth Proportional to 11,843.58, 16,344.64 and 6,809.38

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Solution

The fourth proportional to 11,843.58, 16,344.64 and 6,809.38 is: 9,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.58 : 16,344.64 = 6,809.38 : x
  2. Step 2: Convert to fraction form
    11,843.58/16,344.64 = 6,809.38/x
  3. Step 3: Cross multiply
    11,843.58x = 16,344.64 × 6,809.38
  4. Step 4: Simplify right side
    11,843.58x = 111,296,864.72
  5. Step 5: Solve for x
    x = 111,296,864.72/11,843.58
  6. Step 6: Final answer
    x = 9,397.23

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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.