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Finding the Fourth Proportional to 9,149.94, 13,724.37 and 2,575.98

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Solution

The fourth proportional to 9,149.94, 13,724.37 and 2,575.98 is: 3,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.94 : 13,724.37 = 2,575.98 : x
  2. Step 2: Convert to fraction form
    9,149.94/13,724.37 = 2,575.98/x
  3. Step 3: Cross multiply
    9,149.94x = 13,724.37 × 2,575.98
  4. Step 4: Simplify right side
    9,149.94x = 35,353,702.63
  5. Step 5: Solve for x
    x = 35,353,702.63/9,149.94
  6. Step 6: Final answer
    x = 3,863.82

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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.