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Finding the Fourth Proportional to 6,016, 9,024.08 and 1,912

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Solution

The fourth proportional to 6,016, 9,024.08 and 1,912 is: 2,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016 : 9,024.08 = 1,912 : x
  2. Step 2: Convert to fraction form
    6,016/9,024.08 = 1,912/x
  3. Step 3: Cross multiply
    6,016x = 9,024.08 × 1,912
  4. Step 4: Simplify right side
    6,016x = 17,254,040.96
  5. Step 5: Solve for x
    x = 17,254,040.96/6,016
  6. Step 6: Final answer
    x = 2,868.03

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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.