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Finding the Fourth Proportional to 6,692.70, 10,039.54 and 2,012.33

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Solution

The fourth proportional to 6,692.70, 10,039.54 and 2,012.33 is: 3,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.70 : 10,039.54 = 2,012.33 : x
  2. Step 2: Convert to fraction form
    6,692.70/10,039.54 = 2,012.33/x
  3. Step 3: Cross multiply
    6,692.70x = 10,039.54 × 2,012.33
  4. Step 4: Simplify right side
    6,692.70x = 20,202,867.53
  5. Step 5: Solve for x
    x = 20,202,867.53/6,692.70
  6. Step 6: Final answer
    x = 3,018.64

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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.