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Finding the Fourth Proportional to 6,726, 9,279.99 and 4,576.26

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Solution

The fourth proportional to 6,726, 9,279.99 and 4,576.26 is: 6,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726 : 9,279.99 = 4,576.26 : x
  2. Step 2: Convert to fraction form
    6,726/9,279.99 = 4,576.26/x
  3. Step 3: Cross multiply
    6,726x = 9,279.99 × 4,576.26
  4. Step 4: Simplify right side
    6,726x = 42,467,647.04
  5. Step 5: Solve for x
    x = 42,467,647.04/6,726
  6. Step 6: Final answer
    x = 6,313.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.