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Finding the Fourth Proportional to 6,016.52, 9,024.73 and 1,633.95

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Solution

The fourth proportional to 6,016.52, 9,024.73 and 1,633.95 is: 2,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.52 : 9,024.73 = 1,633.95 : x
  2. Step 2: Convert to fraction form
    6,016.52/9,024.73 = 1,633.95/x
  3. Step 3: Cross multiply
    6,016.52x = 9,024.73 × 1,633.95
  4. Step 4: Simplify right side
    6,016.52x = 14,745,953.50
  5. Step 5: Solve for x
    x = 14,745,953.50/6,016.52
  6. Step 6: Final answer
    x = 2,450.91

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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.