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Finding the Fourth Proportional to 6,896.56, 9,517.20 and 3,752.74

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Solution

The fourth proportional to 6,896.56, 9,517.20 and 3,752.74 is: 5,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.56 : 9,517.20 = 3,752.74 : x
  2. Step 2: Convert to fraction form
    6,896.56/9,517.20 = 3,752.74/x
  3. Step 3: Cross multiply
    6,896.56x = 9,517.20 × 3,752.74
  4. Step 4: Simplify right side
    6,896.56x = 35,715,577.13
  5. Step 5: Solve for x
    x = 35,715,577.13/6,896.56
  6. Step 6: Final answer
    x = 5,178.75

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1.5x scale

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.