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Finding the Fourth Proportional to 6,561.87, 9,844.65 and 2,864.43

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Solution

The fourth proportional to 6,561.87, 9,844.65 and 2,864.43 is: 4,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.87 : 9,844.65 = 2,864.43 : x
  2. Step 2: Convert to fraction form
    6,561.87/9,844.65 = 2,864.43/x
  3. Step 3: Cross multiply
    6,561.87x = 9,844.65 × 2,864.43
  4. Step 4: Simplify right side
    6,561.87x = 28,199,310.80
  5. Step 5: Solve for x
    x = 28,199,310.80/6,561.87
  6. Step 6: Final answer
    x = 4,297.45

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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.