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Finding the Fourth Proportional to 6,965.79, 10,448.75 and 1,771.66

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Solution

The fourth proportional to 6,965.79, 10,448.75 and 1,771.66 is: 2,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.79 : 10,448.75 = 1,771.66 : x
  2. Step 2: Convert to fraction form
    6,965.79/10,448.75 = 1,771.66/x
  3. Step 3: Cross multiply
    6,965.79x = 10,448.75 × 1,771.66
  4. Step 4: Simplify right side
    6,965.79x = 18,511,632.43
  5. Step 5: Solve for x
    x = 18,511,632.43/6,965.79
  6. Step 6: Final answer
    x = 2,657.51

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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.