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Finding the Fourth Proportional to 6,384.36, 9,575.82 and 1,767

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Solution

The fourth proportional to 6,384.36, 9,575.82 and 1,767 is: 2,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.36 : 9,575.82 = 1,767 : x
  2. Step 2: Convert to fraction form
    6,384.36/9,575.82 = 1,767/x
  3. Step 3: Cross multiply
    6,384.36x = 9,575.82 × 1,767
  4. Step 4: Simplify right side
    6,384.36x = 16,920,473.94
  5. Step 5: Solve for x
    x = 16,920,473.94/6,384.36
  6. Step 6: Final answer
    x = 2,650.30

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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.