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Finding the Fourth Proportional to 6,959.56, 9,604.50 and 4,165

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Solution

The fourth proportional to 6,959.56, 9,604.50 and 4,165 is: 5,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.56 : 9,604.50 = 4,165 : x
  2. Step 2: Convert to fraction form
    6,959.56/9,604.50 = 4,165/x
  3. Step 3: Cross multiply
    6,959.56x = 9,604.50 × 4,165
  4. Step 4: Simplify right side
    6,959.56x = 40,002,742.50
  5. Step 5: Solve for x
    x = 40,002,742.50/6,959.56
  6. Step 6: Final answer
    x = 5,747.88

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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.