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Finding the Fourth Proportional to 27,641.75, 41,462.63 and 9,173.75

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Solution

The fourth proportional to 27,641.75, 41,462.63 and 9,173.75 is: 13,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.75 : 41,462.63 = 9,173.75 : x
  2. Step 2: Convert to fraction form
    27,641.75/41,462.63 = 9,173.75/x
  3. Step 3: Cross multiply
    27,641.75x = 41,462.63 × 9,173.75
  4. Step 4: Simplify right side
    27,641.75x = 380,367,756.09
  5. Step 5: Solve for x
    x = 380,367,756.09/27,641.75
  6. Step 6: Final answer
    x = 13,760.63

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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.