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Finding the Fourth Proportional to 6,892.74, 9,512.06 and 3,748.95

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Solution

The fourth proportional to 6,892.74, 9,512.06 and 3,748.95 is: 5,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.74 : 9,512.06 = 3,748.95 : x
  2. Step 2: Convert to fraction form
    6,892.74/9,512.06 = 3,748.95/x
  3. Step 3: Cross multiply
    6,892.74x = 9,512.06 × 3,748.95
  4. Step 4: Simplify right side
    6,892.74x = 35,660,218.59
  5. Step 5: Solve for x
    x = 35,660,218.59/6,892.74
  6. Step 6: Final answer
    x = 5,173.59

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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.