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Finding the Fourth Proportional to 4,416.75, 6,622.83 and 1,494

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Solution

The fourth proportional to 4,416.75, 6,622.83 and 1,494 is: 2,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.75 : 6,622.83 = 1,494 : x
  2. Step 2: Convert to fraction form
    4,416.75/6,622.83 = 1,494/x
  3. Step 3: Cross multiply
    4,416.75x = 6,622.83 × 1,494
  4. Step 4: Simplify right side
    4,416.75x = 9,894,508.02
  5. Step 5: Solve for x
    x = 9,894,508.02/4,416.75
  6. Step 6: Final answer
    x = 2,240.22

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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.