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Finding the Fourth Proportional to 6,561.63, 9,842.66 and 2,178.96

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Solution

The fourth proportional to 6,561.63, 9,842.66 and 2,178.96 is: 3,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.63 : 9,842.66 = 2,178.96 : x
  2. Step 2: Convert to fraction form
    6,561.63/9,842.66 = 2,178.96/x
  3. Step 3: Cross multiply
    6,561.63x = 9,842.66 × 2,178.96
  4. Step 4: Simplify right side
    6,561.63x = 21,446,751.54
  5. Step 5: Solve for x
    x = 21,446,751.54/6,561.63
  6. Step 6: Final answer
    x = 3,268.51

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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.