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Finding the Fourth Proportional to 6,561.30, 9,054.56 and 3,577.11

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Solution

The fourth proportional to 6,561.30, 9,054.56 and 3,577.11 is: 4,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.30 : 9,054.56 = 3,577.11 : x
  2. Step 2: Convert to fraction form
    6,561.30/9,054.56 = 3,577.11/x
  3. Step 3: Cross multiply
    6,561.30x = 9,054.56 × 3,577.11
  4. Step 4: Simplify right side
    6,561.30x = 32,389,172.98
  5. Step 5: Solve for x
    x = 32,389,172.98/6,561.30
  6. Step 6: Final answer
    x = 4,936.39

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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.