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Finding the Fourth Proportional to 6,673.50, 10,012.64 and 3,384.09

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Solution

The fourth proportional to 6,673.50, 10,012.64 and 3,384.09 is: 5,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.50 : 10,012.64 = 3,384.09 : x
  2. Step 2: Convert to fraction form
    6,673.50/10,012.64 = 3,384.09/x
  3. Step 3: Cross multiply
    6,673.50x = 10,012.64 × 3,384.09
  4. Step 4: Simplify right side
    6,673.50x = 33,883,657.98
  5. Step 5: Solve for x
    x = 33,883,657.98/6,673.50
  6. Step 6: Final answer
    x = 5,077.34

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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.