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Finding the Fourth Proportional to 6,047.51, 9,064.24 and 3,452.27

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Solution

The fourth proportional to 6,047.51, 9,064.24 and 3,452.27 is: 5,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.51 : 9,064.24 = 3,452.27 : x
  2. Step 2: Convert to fraction form
    6,047.51/9,064.24 = 3,452.27/x
  3. Step 3: Cross multiply
    6,047.51x = 9,064.24 × 3,452.27
  4. Step 4: Simplify right side
    6,047.51x = 31,292,203.82
  5. Step 5: Solve for x
    x = 31,292,203.82/6,047.51
  6. Step 6: Final answer
    x = 5,174.39

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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.