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Finding the Fourth Proportional to 6,174.63, 9,261.91 and 4,936.24

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Solution

The fourth proportional to 6,174.63, 9,261.91 and 4,936.24 is: 7,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.63 : 9,261.91 = 4,936.24 : x
  2. Step 2: Convert to fraction form
    6,174.63/9,261.91 = 4,936.24/x
  3. Step 3: Cross multiply
    6,174.63x = 9,261.91 × 4,936.24
  4. Step 4: Simplify right side
    6,174.63x = 45,719,028.37
  5. Step 5: Solve for x
    x = 45,719,028.37/6,174.63
  6. Step 6: Final answer
    x = 7,404.33

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1.5x scale

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.