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Finding the Fourth Proportional to 6,202.80, 8,563.20 and 4,783.38

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Solution

The fourth proportional to 6,202.80, 8,563.20 and 4,783.38 is: 6,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.80 : 8,563.20 = 4,783.38 : x
  2. Step 2: Convert to fraction form
    6,202.80/8,563.20 = 4,783.38/x
  3. Step 3: Cross multiply
    6,202.80x = 8,563.20 × 4,783.38
  4. Step 4: Simplify right side
    6,202.80x = 40,961,039.62
  5. Step 5: Solve for x
    x = 40,961,039.62/6,202.80
  6. Step 6: Final answer
    x = 6,603.64

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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.