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Finding the Fourth Proportional to 5,163.98, 7,727.42 and 4,472.97

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Solution

The fourth proportional to 5,163.98, 7,727.42 and 4,472.97 is: 6,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.98 : 7,727.42 = 4,472.97 : x
  2. Step 2: Convert to fraction form
    5,163.98/7,727.42 = 4,472.97/x
  3. Step 3: Cross multiply
    5,163.98x = 7,727.42 × 4,472.97
  4. Step 4: Simplify right side
    5,163.98x = 34,564,495.47
  5. Step 5: Solve for x
    x = 34,564,495.47/5,163.98
  6. Step 6: Final answer
    x = 6,693.39

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1.5x scale

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.