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Finding the Fourth Proportional to 7,092, 9,764.64 and 6,027.66

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Solution

The fourth proportional to 7,092, 9,764.64 and 6,027.66 is: 8,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092 : 9,764.64 = 6,027.66 : x
  2. Step 2: Convert to fraction form
    7,092/9,764.64 = 6,027.66/x
  3. Step 3: Cross multiply
    7,092x = 9,764.64 × 6,027.66
  4. Step 4: Simplify right side
    7,092x = 58,857,929.94
  5. Step 5: Solve for x
    x = 58,857,929.94/7,092
  6. Step 6: Final answer
    x = 8,299.20

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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.