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Finding the Fourth Proportional to 9,105.87, 13,669.74 and 6,175.29

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Solution

The fourth proportional to 9,105.87, 13,669.74 and 6,175.29 is: 9,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.87 : 13,669.74 = 6,175.29 : x
  2. Step 2: Convert to fraction form
    9,105.87/13,669.74 = 6,175.29/x
  3. Step 3: Cross multiply
    9,105.87x = 13,669.74 × 6,175.29
  4. Step 4: Simplify right side
    9,105.87x = 84,414,608.72
  5. Step 5: Solve for x
    x = 84,414,608.72/9,105.87
  6. Step 6: Final answer
    x = 9,270.35

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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.