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Finding the Fourth Proportional to 6,696.86, 9,241.49 and 3,712.68

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Solution

The fourth proportional to 6,696.86, 9,241.49 and 3,712.68 is: 5,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.86 : 9,241.49 = 3,712.68 : x
  2. Step 2: Convert to fraction form
    6,696.86/9,241.49 = 3,712.68/x
  3. Step 3: Cross multiply
    6,696.86x = 9,241.49 × 3,712.68
  4. Step 4: Simplify right side
    6,696.86x = 34,310,704.37
  5. Step 5: Solve for x
    x = 34,310,704.37/6,696.86
  6. Step 6: Final answer
    x = 5,123.41

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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.