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Finding the Fourth Proportional to 6,709.56, 10,064.40 and 2,092.56

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Solution

The fourth proportional to 6,709.56, 10,064.40 and 2,092.56 is: 3,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.56 : 10,064.40 = 2,092.56 : x
  2. Step 2: Convert to fraction form
    6,709.56/10,064.40 = 2,092.56/x
  3. Step 3: Cross multiply
    6,709.56x = 10,064.40 × 2,092.56
  4. Step 4: Simplify right side
    6,709.56x = 21,060,360.86
  5. Step 5: Solve for x
    x = 21,060,360.86/6,709.56
  6. Step 6: Final answer
    x = 3,138.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.