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Finding the Fourth Proportional to 6,456.80, 9,692.40 and 6,033.80

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Solution

The fourth proportional to 6,456.80, 9,692.40 and 6,033.80 is: 9,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.80 : 9,692.40 = 6,033.80 : x
  2. Step 2: Convert to fraction form
    6,456.80/9,692.40 = 6,033.80/x
  3. Step 3: Cross multiply
    6,456.80x = 9,692.40 × 6,033.80
  4. Step 4: Simplify right side
    6,456.80x = 58,482,003.12
  5. Step 5: Solve for x
    x = 58,482,003.12/6,456.80
  6. Step 6: Final answer
    x = 9,057.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.