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Finding the Fourth Proportional to 6,617.70, 9,132.21 and 3,633.66

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Solution

The fourth proportional to 6,617.70, 9,132.21 and 3,633.66 is: 5,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.70 : 9,132.21 = 3,633.66 : x
  2. Step 2: Convert to fraction form
    6,617.70/9,132.21 = 3,633.66/x
  3. Step 3: Cross multiply
    6,617.70x = 9,132.21 × 3,633.66
  4. Step 4: Simplify right side
    6,617.70x = 33,183,346.19
  5. Step 5: Solve for x
    x = 33,183,346.19/6,617.70
  6. Step 6: Final answer
    x = 5,014.33

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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.