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Finding the Fourth Proportional to 27,471.50, 41,203.57 and 7,751.64

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Solution

The fourth proportional to 27,471.50, 41,203.57 and 7,751.64 is: 11,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.50 : 41,203.57 = 7,751.64 : x
  2. Step 2: Convert to fraction form
    27,471.50/41,203.57 = 7,751.64/x
  3. Step 3: Cross multiply
    27,471.50x = 41,203.57 × 7,751.64
  4. Step 4: Simplify right side
    27,471.50x = 319,395,241.35
  5. Step 5: Solve for x
    x = 319,395,241.35/27,471.50
  6. Step 6: Final answer
    x = 11,626.42

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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.