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Finding the Fourth Proportional to 6,564.75, 9,851.69 and 2,669.16

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Solution

The fourth proportional to 6,564.75, 9,851.69 and 2,669.16 is: 4,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.75 : 9,851.69 = 2,669.16 : x
  2. Step 2: Convert to fraction form
    6,564.75/9,851.69 = 2,669.16/x
  3. Step 3: Cross multiply
    6,564.75x = 9,851.69 × 2,669.16
  4. Step 4: Simplify right side
    6,564.75x = 26,295,723.53
  5. Step 5: Solve for x
    x = 26,295,723.53/6,564.75
  6. Step 6: Final answer
    x = 4,005.59

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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.