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Finding the Fourth Proportional to 6,881.54, 9,496.23 and 3,737.66

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Solution

The fourth proportional to 6,881.54, 9,496.23 and 3,737.66 is: 5,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.54 : 9,496.23 = 3,737.66 : x
  2. Step 2: Convert to fraction form
    6,881.54/9,496.23 = 3,737.66/x
  3. Step 3: Cross multiply
    6,881.54x = 9,496.23 × 3,737.66
  4. Step 4: Simplify right side
    6,881.54x = 35,493,679.02
  5. Step 5: Solve for x
    x = 35,493,679.02/6,881.54
  6. Step 6: Final answer
    x = 5,157.81

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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.