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Finding the Fourth Proportional to 6,921.62, 9,555.26 and 4,270.49

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Solution

The fourth proportional to 6,921.62, 9,555.26 and 4,270.49 is: 5,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.62 : 9,555.26 = 4,270.49 : x
  2. Step 2: Convert to fraction form
    6,921.62/9,555.26 = 4,270.49/x
  3. Step 3: Cross multiply
    6,921.62x = 9,555.26 × 4,270.49
  4. Step 4: Simplify right side
    6,921.62x = 40,805,573.15
  5. Step 5: Solve for x
    x = 40,805,573.15/6,921.62
  6. Step 6: Final answer
    x = 5,895.38

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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.