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Finding the Fourth Proportional to 7,416.50, 10,234.78 and 4,622

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Solution

The fourth proportional to 7,416.50, 10,234.78 and 4,622 is: 6,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.50 : 10,234.78 = 4,622 : x
  2. Step 2: Convert to fraction form
    7,416.50/10,234.78 = 4,622/x
  3. Step 3: Cross multiply
    7,416.50x = 10,234.78 × 4,622
  4. Step 4: Simplify right side
    7,416.50x = 47,305,153.16
  5. Step 5: Solve for x
    x = 47,305,153.16/7,416.50
  6. Step 6: Final answer
    x = 6,378.37

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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.