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Finding the Fourth Proportional to 6,803.88, 10,205.80 and 1,873.54

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Solution

The fourth proportional to 6,803.88, 10,205.80 and 1,873.54 is: 2,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.88 : 10,205.80 = 1,873.54 : x
  2. Step 2: Convert to fraction form
    6,803.88/10,205.80 = 1,873.54/x
  3. Step 3: Cross multiply
    6,803.88x = 10,205.80 × 1,873.54
  4. Step 4: Simplify right side
    6,803.88x = 19,120,974.53
  5. Step 5: Solve for x
    x = 19,120,974.53/6,803.88
  6. Step 6: Final answer
    x = 2,810.30

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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.