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Finding the Fourth Proportional to 10,684.41, 16,027.07 and 2,893.22

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Solution

The fourth proportional to 10,684.41, 16,027.07 and 2,893.22 is: 4,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.41 : 16,027.07 = 2,893.22 : x
  2. Step 2: Convert to fraction form
    10,684.41/16,027.07 = 2,893.22/x
  3. Step 3: Cross multiply
    10,684.41x = 16,027.07 × 2,893.22
  4. Step 4: Simplify right side
    10,684.41x = 46,369,804.97
  5. Step 5: Solve for x
    x = 46,369,804.97/10,684.41
  6. Step 6: Final answer
    x = 4,339.95

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1.5x scale

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.