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Finding the Fourth Proportional to 7,361.67, 10,162.86 and 5,679.30

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Solution

The fourth proportional to 7,361.67, 10,162.86 and 5,679.30 is: 7,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.67 : 10,162.86 = 5,679.30 : x
  2. Step 2: Convert to fraction form
    7,361.67/10,162.86 = 5,679.30/x
  3. Step 3: Cross multiply
    7,361.67x = 10,162.86 × 5,679.30
  4. Step 4: Simplify right side
    7,361.67x = 57,717,930.80
  5. Step 5: Solve for x
    x = 57,717,930.80/7,361.67
  6. Step 6: Final answer
    x = 7,840.33

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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.