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Finding the Fourth Proportional to 6,357, 8,773.20 and 3,563.04

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Solution

The fourth proportional to 6,357, 8,773.20 and 3,563.04 is: 4,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357 : 8,773.20 = 3,563.04 : x
  2. Step 2: Convert to fraction form
    6,357/8,773.20 = 3,563.04/x
  3. Step 3: Cross multiply
    6,357x = 8,773.20 × 3,563.04
  4. Step 4: Simplify right side
    6,357x = 31,259,262.53
  5. Step 5: Solve for x
    x = 31,259,262.53/6,357
  6. Step 6: Final answer
    x = 4,917.30

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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.