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Finding the Fourth Proportional to 6,803.54, 10,199.24 and 3,291.58

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Solution

The fourth proportional to 6,803.54, 10,199.24 and 3,291.58 is: 4,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.54 : 10,199.24 = 3,291.58 : x
  2. Step 2: Convert to fraction form
    6,803.54/10,199.24 = 3,291.58/x
  3. Step 3: Cross multiply
    6,803.54x = 10,199.24 × 3,291.58
  4. Step 4: Simplify right side
    6,803.54x = 33,571,614.40
  5. Step 5: Solve for x
    x = 33,571,614.40/6,803.54
  6. Step 6: Final answer
    x = 4,934.43

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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.