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Finding the Fourth Proportional to 9,511, 14,272.26 and 4,039

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Solution

The fourth proportional to 9,511, 14,272.26 and 4,039 is: 6,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511 : 14,272.26 = 4,039 : x
  2. Step 2: Convert to fraction form
    9,511/14,272.26 = 4,039/x
  3. Step 3: Cross multiply
    9,511x = 14,272.26 × 4,039
  4. Step 4: Simplify right side
    9,511x = 57,645,658.14
  5. Step 5: Solve for x
    x = 57,645,658.14/9,511
  6. Step 6: Final answer
    x = 6,060.95

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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.