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Finding the Fourth Proportional to 6,577.50, 9,866.18 and 3,019.16

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Solution

The fourth proportional to 6,577.50, 9,866.18 and 3,019.16 is: 4,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.50 : 9,866.18 = 3,019.16 : x
  2. Step 2: Convert to fraction form
    6,577.50/9,866.18 = 3,019.16/x
  3. Step 3: Cross multiply
    6,577.50x = 9,866.18 × 3,019.16
  4. Step 4: Simplify right side
    6,577.50x = 29,787,576.01
  5. Step 5: Solve for x
    x = 29,787,576.01/6,577.50
  6. Step 6: Final answer
    x = 4,528.71

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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.