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Finding the Fourth Proportional to 6,577.74, 9,077.40 and 3,593.70

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Solution

The fourth proportional to 6,577.74, 9,077.40 and 3,593.70 is: 4,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.74 : 9,077.40 = 3,593.70 : x
  2. Step 2: Convert to fraction form
    6,577.74/9,077.40 = 3,593.70/x
  3. Step 3: Cross multiply
    6,577.74x = 9,077.40 × 3,593.70
  4. Step 4: Simplify right side
    6,577.74x = 32,621,452.38
  5. Step 5: Solve for x
    x = 32,621,452.38/6,577.74
  6. Step 6: Final answer
    x = 4,959.37

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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.