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Finding the Fourth Proportional to 27,697.72, 41,544.12 and 6,921.20

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Solution

The fourth proportional to 27,697.72, 41,544.12 and 6,921.20 is: 10,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.72 : 41,544.12 = 6,921.20 : x
  2. Step 2: Convert to fraction form
    27,697.72/41,544.12 = 6,921.20/x
  3. Step 3: Cross multiply
    27,697.72x = 41,544.12 × 6,921.20
  4. Step 4: Simplify right side
    27,697.72x = 287,535,163.34
  5. Step 5: Solve for x
    x = 287,535,163.34/27,697.72
  6. Step 6: Final answer
    x = 10,381.19

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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.