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Finding the Fourth Proportional to 6,565.88, 9,850.02 and 3,965.72

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Solution

The fourth proportional to 6,565.88, 9,850.02 and 3,965.72 is: 5,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.88 : 9,850.02 = 3,965.72 : x
  2. Step 2: Convert to fraction form
    6,565.88/9,850.02 = 3,965.72/x
  3. Step 3: Cross multiply
    6,565.88x = 9,850.02 × 3,965.72
  4. Step 4: Simplify right side
    6,565.88x = 39,062,421.31
  5. Step 5: Solve for x
    x = 39,062,421.31/6,565.88
  6. Step 6: Final answer
    x = 5,949.30

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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.