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Finding the Fourth Proportional to 6,622.76, 9,878.36 and 6,163.49

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Solution

The fourth proportional to 6,622.76, 9,878.36 and 6,163.49 is: 9,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.76 : 9,878.36 = 6,163.49 : x
  2. Step 2: Convert to fraction form
    6,622.76/9,878.36 = 6,163.49/x
  3. Step 3: Cross multiply
    6,622.76x = 9,878.36 × 6,163.49
  4. Step 4: Simplify right side
    6,622.76x = 60,885,166.95
  5. Step 5: Solve for x
    x = 60,885,166.95/6,622.76
  6. Step 6: Final answer
    x = 9,193.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.