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Finding the Fourth Proportional to 6,384.24, 9,579.24 and 3,100.32

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Solution

The fourth proportional to 6,384.24, 9,579.24 and 3,100.32 is: 4,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.24 : 9,579.24 = 3,100.32 : x
  2. Step 2: Convert to fraction form
    6,384.24/9,579.24 = 3,100.32/x
  3. Step 3: Cross multiply
    6,384.24x = 9,579.24 × 3,100.32
  4. Step 4: Simplify right side
    6,384.24x = 29,698,709.36
  5. Step 5: Solve for x
    x = 29,698,709.36/6,384.24
  6. Step 6: Final answer
    x = 4,651.88

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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.