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Finding the Fourth Proportional to 11,843.75, 16,344.06 and 6,538.45

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Solution

The fourth proportional to 11,843.75, 16,344.06 and 6,538.45 is: 9,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.75 : 16,344.06 = 6,538.45 : x
  2. Step 2: Convert to fraction form
    11,843.75/16,344.06 = 6,538.45/x
  3. Step 3: Cross multiply
    11,843.75x = 16,344.06 × 6,538.45
  4. Step 4: Simplify right side
    11,843.75x = 106,864,819.11
  5. Step 5: Solve for x
    x = 106,864,819.11/11,843.75
  6. Step 6: Final answer
    x = 9,022.89

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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.