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Finding the Fourth Proportional to 6,574.10, 9,850.20 and 4,622.22

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Solution

The fourth proportional to 6,574.10, 9,850.20 and 4,622.22 is: 6,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.10 : 9,850.20 = 4,622.22 : x
  2. Step 2: Convert to fraction form
    6,574.10/9,850.20 = 4,622.22/x
  3. Step 3: Cross multiply
    6,574.10x = 9,850.20 × 4,622.22
  4. Step 4: Simplify right side
    6,574.10x = 45,529,791.44
  5. Step 5: Solve for x
    x = 45,529,791.44/6,574.10
  6. Step 6: Final answer
    x = 6,925.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.