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Finding the Fourth Proportional to 6,112.52, 9,148.02 and 3,774.02

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Solution

The fourth proportional to 6,112.52, 9,148.02 and 3,774.02 is: 5,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.52 : 9,148.02 = 3,774.02 : x
  2. Step 2: Convert to fraction form
    6,112.52/9,148.02 = 3,774.02/x
  3. Step 3: Cross multiply
    6,112.52x = 9,148.02 × 3,774.02
  4. Step 4: Simplify right side
    6,112.52x = 34,524,810.44
  5. Step 5: Solve for x
    x = 34,524,810.44/6,112.52
  6. Step 6: Final answer
    x = 5,648.21

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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.