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Finding the Fourth Proportional to 10,290, 14,201.82 and 6,097.44

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Solution

The fourth proportional to 10,290, 14,201.82 and 6,097.44 is: 8,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290 : 14,201.82 = 6,097.44 : x
  2. Step 2: Convert to fraction form
    10,290/14,201.82 = 6,097.44/x
  3. Step 3: Cross multiply
    10,290x = 14,201.82 × 6,097.44
  4. Step 4: Simplify right side
    10,290x = 86,594,745.34
  5. Step 5: Solve for x
    x = 86,594,745.34/10,290
  6. Step 6: Final answer
    x = 8,415.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.