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Finding the Fourth Proportional to 11,117.70, 16,641.69 and 6,171.42

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Solution

The fourth proportional to 11,117.70, 16,641.69 and 6,171.42 is: 9,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.70 : 16,641.69 = 6,171.42 : x
  2. Step 2: Convert to fraction form
    11,117.70/16,641.69 = 6,171.42/x
  3. Step 3: Cross multiply
    11,117.70x = 16,641.69 × 6,171.42
  4. Step 4: Simplify right side
    11,117.70x = 102,702,858.50
  5. Step 5: Solve for x
    x = 102,702,858.50/11,117.70
  6. Step 6: Final answer
    x = 9,237.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.