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Finding the Fourth Proportional to 12,805, 17,670.90 and 6,917

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Solution

The fourth proportional to 12,805, 17,670.90 and 6,917 is: 9,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805 : 17,670.90 = 6,917 : x
  2. Step 2: Convert to fraction form
    12,805/17,670.90 = 6,917/x
  3. Step 3: Cross multiply
    12,805x = 17,670.90 × 6,917
  4. Step 4: Simplify right side
    12,805x = 122,229,615.30
  5. Step 5: Solve for x
    x = 122,229,615.30/12,805
  6. Step 6: Final answer
    x = 9,545.46

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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.