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Finding the Fourth Proportional to 6,755.96, 9,340.62 and 5,189.24

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Solution

The fourth proportional to 6,755.96, 9,340.62 and 5,189.24 is: 7,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.96 : 9,340.62 = 5,189.24 : x
  2. Step 2: Convert to fraction form
    6,755.96/9,340.62 = 5,189.24/x
  3. Step 3: Cross multiply
    6,755.96x = 9,340.62 × 5,189.24
  4. Step 4: Simplify right side
    6,755.96x = 48,470,718.93
  5. Step 5: Solve for x
    x = 48,470,718.93/6,755.96
  6. Step 6: Final answer
    x = 7,174.51

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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.