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Finding the Fourth Proportional to 6,066, 9,090.24 and 3,469.68

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Solution

The fourth proportional to 6,066, 9,090.24 and 3,469.68 is: 5,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066 : 9,090.24 = 3,469.68 : x
  2. Step 2: Convert to fraction form
    6,066/9,090.24 = 3,469.68/x
  3. Step 3: Cross multiply
    6,066x = 9,090.24 × 3,469.68
  4. Step 4: Simplify right side
    6,066x = 31,540,223.92
  5. Step 5: Solve for x
    x = 31,540,223.92/6,066
  6. Step 6: Final answer
    x = 5,199.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.