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Finding the Fourth Proportional to 6,881.67, 9,496.71 and 3,737.88

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Solution

The fourth proportional to 6,881.67, 9,496.71 and 3,737.88 is: 5,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.67 : 9,496.71 = 3,737.88 : x
  2. Step 2: Convert to fraction form
    6,881.67/9,496.71 = 3,737.88/x
  3. Step 3: Cross multiply
    6,881.67x = 9,496.71 × 3,737.88
  4. Step 4: Simplify right side
    6,881.67x = 35,497,562.37
  5. Step 5: Solve for x
    x = 35,497,562.37/6,881.67
  6. Step 6: Final answer
    x = 5,158.28

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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.