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Finding the Fourth Proportional to 6,578.16, 9,867.24 and 3,499.44

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Solution

The fourth proportional to 6,578.16, 9,867.24 and 3,499.44 is: 5,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.16 : 9,867.24 = 3,499.44 : x
  2. Step 2: Convert to fraction form
    6,578.16/9,867.24 = 3,499.44/x
  3. Step 3: Cross multiply
    6,578.16x = 9,867.24 × 3,499.44
  4. Step 4: Simplify right side
    6,578.16x = 34,529,814.35
  5. Step 5: Solve for x
    x = 34,529,814.35/6,578.16
  6. Step 6: Final answer
    x = 5,249.16

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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.