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Finding the Fourth Proportional to 6,019.67, 9,032.75 and 2,512.10

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Solution

The fourth proportional to 6,019.67, 9,032.75 and 2,512.10 is: 3,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.67 : 9,032.75 = 2,512.10 : x
  2. Step 2: Convert to fraction form
    6,019.67/9,032.75 = 2,512.10/x
  3. Step 3: Cross multiply
    6,019.67x = 9,032.75 × 2,512.10
  4. Step 4: Simplify right side
    6,019.67x = 22,691,171.28
  5. Step 5: Solve for x
    x = 22,691,171.28/6,019.67
  6. Step 6: Final answer
    x = 3,769.50

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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.