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Finding the Fourth Proportional to 6,577.70, 9,077.42 and 3,593.69

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Solution

The fourth proportional to 6,577.70, 9,077.42 and 3,593.69 is: 4,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.70 : 9,077.42 = 3,593.69 : x
  2. Step 2: Convert to fraction form
    6,577.70/9,077.42 = 3,593.69/x
  3. Step 3: Cross multiply
    6,577.70x = 9,077.42 × 3,593.69
  4. Step 4: Simplify right side
    6,577.70x = 32,621,433.48
  5. Step 5: Solve for x
    x = 32,621,433.48/6,577.70
  6. Step 6: Final answer
    x = 4,959.40

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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.