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Finding the Fourth Proportional to 11,895, 16,415.10 and 6,927

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Solution

The fourth proportional to 11,895, 16,415.10 and 6,927 is: 9,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895 : 16,415.10 = 6,927 : x
  2. Step 2: Convert to fraction form
    11,895/16,415.10 = 6,927/x
  3. Step 3: Cross multiply
    11,895x = 16,415.10 × 6,927
  4. Step 4: Simplify right side
    11,895x = 113,707,397.70
  5. Step 5: Solve for x
    x = 113,707,397.70/11,895
  6. Step 6: Final answer
    x = 9,559.26

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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.