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Finding the Fourth Proportional to 6,174.08, 9,257.02 and 3,402.08

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Solution

The fourth proportional to 6,174.08, 9,257.02 and 3,402.08 is: 5,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.08 : 9,257.02 = 3,402.08 : x
  2. Step 2: Convert to fraction form
    6,174.08/9,257.02 = 3,402.08/x
  3. Step 3: Cross multiply
    6,174.08x = 9,257.02 × 3,402.08
  4. Step 4: Simplify right side
    6,174.08x = 31,493,067.81
  5. Step 5: Solve for x
    x = 31,493,067.81/6,174.08
  6. Step 6: Final answer
    x = 5,100.86

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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.