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Finding the Fourth Proportional to 6,416.50, 8,854.98 and 3,622

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Solution

The fourth proportional to 6,416.50, 8,854.98 and 3,622 is: 4,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.50 : 8,854.98 = 3,622 : x
  2. Step 2: Convert to fraction form
    6,416.50/8,854.98 = 3,622/x
  3. Step 3: Cross multiply
    6,416.50x = 8,854.98 × 3,622
  4. Step 4: Simplify right side
    6,416.50x = 32,072,737.56
  5. Step 5: Solve for x
    x = 32,072,737.56/6,416.50
  6. Step 6: Final answer
    x = 4,998.48

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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.