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Finding the Fourth Proportional to 6,384.71, 9,578.07 and 3,263.02

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Solution

The fourth proportional to 6,384.71, 9,578.07 and 3,263.02 is: 4,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.71 : 9,578.07 = 3,263.02 : x
  2. Step 2: Convert to fraction form
    6,384.71/9,578.07 = 3,263.02/x
  3. Step 3: Cross multiply
    6,384.71x = 9,578.07 × 3,263.02
  4. Step 4: Simplify right side
    6,384.71x = 31,253,410.03
  5. Step 5: Solve for x
    x = 31,253,410.03/6,384.71
  6. Step 6: Final answer
    x = 4,895.04

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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.