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Finding the Fourth Proportional to 6,995.70, 10,497.24 and 3,100.50

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Solution

The fourth proportional to 6,995.70, 10,497.24 and 3,100.50 is: 4,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.70 : 10,497.24 = 3,100.50 : x
  2. Step 2: Convert to fraction form
    6,995.70/10,497.24 = 3,100.50/x
  3. Step 3: Cross multiply
    6,995.70x = 10,497.24 × 3,100.50
  4. Step 4: Simplify right side
    6,995.70x = 32,546,692.62
  5. Step 5: Solve for x
    x = 32,546,692.62/6,995.70
  6. Step 6: Final answer
    x = 4,652.39

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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.