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Finding the Fourth Proportional to 6,696.75, 9,241.26 and 3,712.64

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Solution

The fourth proportional to 6,696.75, 9,241.26 and 3,712.64 is: 5,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.75 : 9,241.26 = 3,712.64 : x
  2. Step 2: Convert to fraction form
    6,696.75/9,241.26 = 3,712.64/x
  3. Step 3: Cross multiply
    6,696.75x = 9,241.26 × 3,712.64
  4. Step 4: Simplify right side
    6,696.75x = 34,309,471.53
  5. Step 5: Solve for x
    x = 34,309,471.53/6,696.75
  6. Step 6: Final answer
    x = 5,123.30

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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.