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Finding the Fourth Proportional to 4,996.98, 6,901.97 and 3,743.64

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Solution

The fourth proportional to 4,996.98, 6,901.97 and 3,743.64 is: 5,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.98 : 6,901.97 = 3,743.64 : x
  2. Step 2: Convert to fraction form
    4,996.98/6,901.97 = 3,743.64/x
  3. Step 3: Cross multiply
    4,996.98x = 6,901.97 × 3,743.64
  4. Step 4: Simplify right side
    4,996.98x = 25,838,472.25
  5. Step 5: Solve for x
    x = 25,838,472.25/4,996.98
  6. Step 6: Final answer
    x = 5,170.82

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1.5x scale

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.