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Finding the Fourth Proportional to 6,249.28, 9,399.84 and 5,653.12

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Solution

The fourth proportional to 6,249.28, 9,399.84 and 5,653.12 is: 8,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.28 : 9,399.84 = 5,653.12 : x
  2. Step 2: Convert to fraction form
    6,249.28/9,399.84 = 5,653.12/x
  3. Step 3: Cross multiply
    6,249.28x = 9,399.84 × 5,653.12
  4. Step 4: Simplify right side
    6,249.28x = 53,138,423.50
  5. Step 5: Solve for x
    x = 53,138,423.50/6,249.28
  6. Step 6: Final answer
    x = 8,503.13

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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.