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Finding the Fourth Proportional to 7,481.98, 11,223.46 and 4,397.50

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Solution

The fourth proportional to 7,481.98, 11,223.46 and 4,397.50 is: 6,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.98 : 11,223.46 = 4,397.50 : x
  2. Step 2: Convert to fraction form
    7,481.98/11,223.46 = 4,397.50/x
  3. Step 3: Cross multiply
    7,481.98x = 11,223.46 × 4,397.50
  4. Step 4: Simplify right side
    7,481.98x = 49,355,165.35
  5. Step 5: Solve for x
    x = 49,355,165.35/7,481.98
  6. Step 6: Final answer
    x = 6,596.54

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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.