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Finding the Fourth Proportional to 11,901.91, 16,425.61 and 6,598.44

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Solution

The fourth proportional to 11,901.91, 16,425.61 and 6,598.44 is: 9,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.91 : 16,425.61 = 6,598.44 : x
  2. Step 2: Convert to fraction form
    11,901.91/16,425.61 = 6,598.44/x
  3. Step 3: Cross multiply
    11,901.91x = 16,425.61 × 6,598.44
  4. Step 4: Simplify right side
    11,901.91x = 108,383,402.05
  5. Step 5: Solve for x
    x = 108,383,402.05/11,901.91
  6. Step 6: Final answer
    x = 9,106.39

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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.