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Finding the Fourth Proportional to 6,696.64, 9,241.38 and 3,712.52

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Solution

The fourth proportional to 6,696.64, 9,241.38 and 3,712.52 is: 5,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.64 : 9,241.38 = 3,712.52 : x
  2. Step 2: Convert to fraction form
    6,696.64/9,241.38 = 3,712.52/x
  3. Step 3: Cross multiply
    6,696.64x = 9,241.38 × 3,712.52
  4. Step 4: Simplify right side
    6,696.64x = 34,308,808.08
  5. Step 5: Solve for x
    x = 34,308,808.08/6,696.64
  6. Step 6: Final answer
    x = 5,123.29

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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.