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Finding the Fourth Proportional to 6,012.50, 9,022.44 and 2,549.75

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Solution

The fourth proportional to 6,012.50, 9,022.44 and 2,549.75 is: 3,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.50 : 9,022.44 = 2,549.75 : x
  2. Step 2: Convert to fraction form
    6,012.50/9,022.44 = 2,549.75/x
  3. Step 3: Cross multiply
    6,012.50x = 9,022.44 × 2,549.75
  4. Step 4: Simplify right side
    6,012.50x = 23,004,966.39
  5. Step 5: Solve for x
    x = 23,004,966.39/6,012.50
  6. Step 6: Final answer
    x = 3,826.19

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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.