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Finding the Fourth Proportional to 11,866.50, 16,374.96 and 6,561

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Solution

The fourth proportional to 11,866.50, 16,374.96 and 6,561 is: 9,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.50 : 16,374.96 = 6,561 : x
  2. Step 2: Convert to fraction form
    11,866.50/16,374.96 = 6,561/x
  3. Step 3: Cross multiply
    11,866.50x = 16,374.96 × 6,561
  4. Step 4: Simplify right side
    11,866.50x = 107,436,112.56
  5. Step 5: Solve for x
    x = 107,436,112.56/11,866.50
  6. Step 6: Final answer
    x = 9,053.73

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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.