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Finding the Fourth Proportional to 6,120, 9,181.44 and 2,016

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Solution

The fourth proportional to 6,120, 9,181.44 and 2,016 is: 3,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120 : 9,181.44 = 2,016 : x
  2. Step 2: Convert to fraction form
    6,120/9,181.44 = 2,016/x
  3. Step 3: Cross multiply
    6,120x = 9,181.44 × 2,016
  4. Step 4: Simplify right side
    6,120x = 18,509,783.04
  5. Step 5: Solve for x
    x = 18,509,783.04/6,120
  6. Step 6: Final answer
    x = 3,024.47

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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.