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Finding the Fourth Proportional to 6,022.66, 9,028.50 and 3,097.54

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Solution

The fourth proportional to 6,022.66, 9,028.50 and 3,097.54 is: 4,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.66 : 9,028.50 = 3,097.54 : x
  2. Step 2: Convert to fraction form
    6,022.66/9,028.50 = 3,097.54/x
  3. Step 3: Cross multiply
    6,022.66x = 9,028.50 × 3,097.54
  4. Step 4: Simplify right side
    6,022.66x = 27,966,139.89
  5. Step 5: Solve for x
    x = 27,966,139.89/6,022.66
  6. Step 6: Final answer
    x = 4,643.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.