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Finding the Fourth Proportional to 11,866, 16,376.52 and 6,898

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Solution

The fourth proportional to 11,866, 16,376.52 and 6,898 is: 9,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866 : 16,376.52 = 6,898 : x
  2. Step 2: Convert to fraction form
    11,866/16,376.52 = 6,898/x
  3. Step 3: Cross multiply
    11,866x = 16,376.52 × 6,898
  4. Step 4: Simplify right side
    11,866x = 112,965,234.96
  5. Step 5: Solve for x
    x = 112,965,234.96/11,866
  6. Step 6: Final answer
    x = 9,520.08

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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.