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Finding the Fourth Proportional to 6,577.65, 9,866.58 and 2,195.13

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Solution

The fourth proportional to 6,577.65, 9,866.58 and 2,195.13 is: 3,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.65 : 9,866.58 = 2,195.13 : x
  2. Step 2: Convert to fraction form
    6,577.65/9,866.58 = 2,195.13/x
  3. Step 3: Cross multiply
    6,577.65x = 9,866.58 × 2,195.13
  4. Step 4: Simplify right side
    6,577.65x = 21,658,425.76
  5. Step 5: Solve for x
    x = 21,658,425.76/6,577.65
  6. Step 6: Final answer
    x = 3,292.73

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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.