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Finding the Fourth Proportional to 6,698.59, 10,047.68 and 1,768.25

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Solution

The fourth proportional to 6,698.59, 10,047.68 and 1,768.25 is: 2,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.59 : 10,047.68 = 1,768.25 : x
  2. Step 2: Convert to fraction form
    6,698.59/10,047.68 = 1,768.25/x
  3. Step 3: Cross multiply
    6,698.59x = 10,047.68 × 1,768.25
  4. Step 4: Simplify right side
    6,698.59x = 17,766,833.07
  5. Step 5: Solve for x
    x = 17,766,833.07/6,698.59
  6. Step 6: Final answer
    x = 2,652.33

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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.