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Finding the Fourth Proportional to 6,133.34, 9,200.50 and 2,185.46

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Solution

The fourth proportional to 6,133.34, 9,200.50 and 2,185.46 is: 3,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.34 : 9,200.50 = 2,185.46 : x
  2. Step 2: Convert to fraction form
    6,133.34/9,200.50 = 2,185.46/x
  3. Step 3: Cross multiply
    6,133.34x = 9,200.50 × 2,185.46
  4. Step 4: Simplify right side
    6,133.34x = 20,107,324.73
  5. Step 5: Solve for x
    x = 20,107,324.73/6,133.34
  6. Step 6: Final answer
    x = 3,278.36

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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.