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Finding the Fourth Proportional to 6,384.56, 9,577 and 1,767.60

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Solution

The fourth proportional to 6,384.56, 9,577 and 1,767.60 is: 2,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.56 : 9,577 = 1,767.60 : x
  2. Step 2: Convert to fraction form
    6,384.56/9,577 = 1,767.60/x
  3. Step 3: Cross multiply
    6,384.56x = 9,577 × 1,767.60
  4. Step 4: Simplify right side
    6,384.56x = 16,928,305.20
  5. Step 5: Solve for x
    x = 16,928,305.20/6,384.56
  6. Step 6: Final answer
    x = 2,651.44

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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.