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Finding the Fourth Proportional to 6,418.66, 9,628.00 and 2,256.41

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Solution

The fourth proportional to 6,418.66, 9,628.00 and 2,256.41 is: 3,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.66 : 9,628.00 = 2,256.41 : x
  2. Step 2: Convert to fraction form
    6,418.66/9,628.00 = 2,256.41/x
  3. Step 3: Cross multiply
    6,418.66x = 9,628.00 × 2,256.41
  4. Step 4: Simplify right side
    6,418.66x = 21,724,689.27
  5. Step 5: Solve for x
    x = 21,724,689.27/6,418.66
  6. Step 6: Final answer
    x = 3,384.62

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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.