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Finding the Fourth Proportional to 6,015.52, 9,024 and 2,119.12

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Solution

The fourth proportional to 6,015.52, 9,024 and 2,119.12 is: 3,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,015.52 : 9,024 = 2,119.12 : x
  2. Step 2: Convert to fraction form
    6,015.52/9,024 = 2,119.12/x
  3. Step 3: Cross multiply
    6,015.52x = 9,024 × 2,119.12
  4. Step 4: Simplify right side
    6,015.52x = 19,122,938.88
  5. Step 5: Solve for x
    x = 19,122,938.88/6,015.52
  6. Step 6: Final answer
    x = 3,178.93

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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.