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Finding the Fourth Proportional to 7,193.49, 10,796.40 and 2,814

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Solution

The fourth proportional to 7,193.49, 10,796.40 and 2,814 is: 4,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.49 : 10,796.40 = 2,814 : x
  2. Step 2: Convert to fraction form
    7,193.49/10,796.40 = 2,814/x
  3. Step 3: Cross multiply
    7,193.49x = 10,796.40 × 2,814
  4. Step 4: Simplify right side
    7,193.49x = 30,381,069.60
  5. Step 5: Solve for x
    x = 30,381,069.60/7,193.49
  6. Step 6: Final answer
    x = 4,223.41

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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.