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Finding the Fourth Proportional to 6,651.69, 9,977.47 and 2,547.69

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Solution

The fourth proportional to 6,651.69, 9,977.47 and 2,547.69 is: 3,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.69 : 9,977.47 = 2,547.69 : x
  2. Step 2: Convert to fraction form
    6,651.69/9,977.47 = 2,547.69/x
  3. Step 3: Cross multiply
    6,651.69x = 9,977.47 × 2,547.69
  4. Step 4: Simplify right side
    6,651.69x = 25,419,500.54
  5. Step 5: Solve for x
    x = 25,419,500.54/6,651.69
  6. Step 6: Final answer
    x = 3,821.51

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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.