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Finding the Fourth Proportional to 6,563.38, 9,057.30 and 3,579.28

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Solution

The fourth proportional to 6,563.38, 9,057.30 and 3,579.28 is: 4,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.38 : 9,057.30 = 3,579.28 : x
  2. Step 2: Convert to fraction form
    6,563.38/9,057.30 = 3,579.28/x
  3. Step 3: Cross multiply
    6,563.38x = 9,057.30 × 3,579.28
  4. Step 4: Simplify right side
    6,563.38x = 32,418,612.74
  5. Step 5: Solve for x
    x = 32,418,612.74/6,563.38
  6. Step 6: Final answer
    x = 4,939.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.