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Finding the Fourth Proportional to 6,698.54, 10,046.66 and 1,768.23

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Solution

The fourth proportional to 6,698.54, 10,046.66 and 1,768.23 is: 2,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.54 : 10,046.66 = 1,768.23 : x
  2. Step 2: Convert to fraction form
    6,698.54/10,046.66 = 1,768.23/x
  3. Step 3: Cross multiply
    6,698.54x = 10,046.66 × 1,768.23
  4. Step 4: Simplify right side
    6,698.54x = 17,764,805.61
  5. Step 5: Solve for x
    x = 17,764,805.61/6,698.54
  6. Step 6: Final answer
    x = 2,652.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.