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Finding the Fourth Proportional to 6,358.23, 8,774.38 and 3,563.73

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Solution

The fourth proportional to 6,358.23, 8,774.38 and 3,563.73 is: 4,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.23 : 8,774.38 = 3,563.73 : x
  2. Step 2: Convert to fraction form
    6,358.23/8,774.38 = 3,563.73/x
  3. Step 3: Cross multiply
    6,358.23x = 8,774.38 × 3,563.73
  4. Step 4: Simplify right side
    6,358.23x = 31,269,521.24
  5. Step 5: Solve for x
    x = 31,269,521.24/6,358.23
  6. Step 6: Final answer
    x = 4,917.96

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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.