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Finding the Fourth Proportional to 6,173.24, 9,253.82 and 3,945.24

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Solution

The fourth proportional to 6,173.24, 9,253.82 and 3,945.24 is: 5,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.24 : 9,253.82 = 3,945.24 : x
  2. Step 2: Convert to fraction form
    6,173.24/9,253.82 = 3,945.24/x
  3. Step 3: Cross multiply
    6,173.24x = 9,253.82 × 3,945.24
  4. Step 4: Simplify right side
    6,173.24x = 36,508,540.82
  5. Step 5: Solve for x
    x = 36,508,540.82/6,173.24
  6. Step 6: Final answer
    x = 5,914.00

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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.