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Finding the Fourth Proportional to 6,561.32, 9,846 and 2,665.76

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Solution

The fourth proportional to 6,561.32, 9,846 and 2,665.76 is: 4,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.32 : 9,846 = 2,665.76 : x
  2. Step 2: Convert to fraction form
    6,561.32/9,846 = 2,665.76/x
  3. Step 3: Cross multiply
    6,561.32x = 9,846 × 2,665.76
  4. Step 4: Simplify right side
    6,561.32x = 26,247,072.96
  5. Step 5: Solve for x
    x = 26,247,072.96/6,561.32
  6. Step 6: Final answer
    x = 4,000.27

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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.