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Finding the Fourth Proportional to 6,804.73, 10,208 and 2,855.35

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Solution

The fourth proportional to 6,804.73, 10,208 and 2,855.35 is: 4,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.73 : 10,208 = 2,855.35 : x
  2. Step 2: Convert to fraction form
    6,804.73/10,208 = 2,855.35/x
  3. Step 3: Cross multiply
    6,804.73x = 10,208 × 2,855.35
  4. Step 4: Simplify right side
    6,804.73x = 29,147,412.80
  5. Step 5: Solve for x
    x = 29,147,412.80/6,804.73
  6. Step 6: Final answer
    x = 4,283.40

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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.