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Finding the Fourth Proportional to 6,577.78, 9,855.54 and 3,975.25

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Solution

The fourth proportional to 6,577.78, 9,855.54 and 3,975.25 is: 5,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.78 : 9,855.54 = 3,975.25 : x
  2. Step 2: Convert to fraction form
    6,577.78/9,855.54 = 3,975.25/x
  3. Step 3: Cross multiply
    6,577.78x = 9,855.54 × 3,975.25
  4. Step 4: Simplify right side
    6,577.78x = 39,178,235.39
  5. Step 5: Solve for x
    x = 39,178,235.39/6,577.78
  6. Step 6: Final answer
    x = 5,956.15

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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.