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Finding the Fourth Proportional to 6,564.58, 9,847.51 and 2,182.34

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Solution

The fourth proportional to 6,564.58, 9,847.51 and 2,182.34 is: 3,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.58 : 9,847.51 = 2,182.34 : x
  2. Step 2: Convert to fraction form
    6,564.58/9,847.51 = 2,182.34/x
  3. Step 3: Cross multiply
    6,564.58x = 9,847.51 × 2,182.34
  4. Step 4: Simplify right side
    6,564.58x = 21,490,634.14
  5. Step 5: Solve for x
    x = 21,490,634.14/6,564.58
  6. Step 6: Final answer
    x = 3,273.73

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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.