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Finding the Fourth Proportional to 6,804.54, 10,205.88 and 1,873.47

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Solution

The fourth proportional to 6,804.54, 10,205.88 and 1,873.47 is: 2,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.54 : 10,205.88 = 1,873.47 : x
  2. Step 2: Convert to fraction form
    6,804.54/10,205.88 = 1,873.47/x
  3. Step 3: Cross multiply
    6,804.54x = 10,205.88 × 1,873.47
  4. Step 4: Simplify right side
    6,804.54x = 19,120,410.00
  5. Step 5: Solve for x
    x = 19,120,410.00/6,804.54
  6. Step 6: Final answer
    x = 2,809.95

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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.