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Finding the Fourth Proportional to 6,394.55, 9,579.94 and 3,475.31

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Solution

The fourth proportional to 6,394.55, 9,579.94 and 3,475.31 is: 5,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.55 : 9,579.94 = 3,475.31 : x
  2. Step 2: Convert to fraction form
    6,394.55/9,579.94 = 3,475.31/x
  3. Step 3: Cross multiply
    6,394.55x = 9,579.94 × 3,475.31
  4. Step 4: Simplify right side
    6,394.55x = 33,293,261.28
  5. Step 5: Solve for x
    x = 33,293,261.28/6,394.55
  6. Step 6: Final answer
    x = 5,206.51

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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.