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Finding the Fourth Proportional to 6,534.38, 9,017.46 and 3,550.20

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Solution

The fourth proportional to 6,534.38, 9,017.46 and 3,550.20 is: 4,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.38 : 9,017.46 = 3,550.20 : x
  2. Step 2: Convert to fraction form
    6,534.38/9,017.46 = 3,550.20/x
  3. Step 3: Cross multiply
    6,534.38x = 9,017.46 × 3,550.20
  4. Step 4: Simplify right side
    6,534.38x = 32,013,786.49
  5. Step 5: Solve for x
    x = 32,013,786.49/6,534.38
  6. Step 6: Final answer
    x = 4,899.28

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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.