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Finding the Fourth Proportional to 12,104.22, 16,702 and 6,798.01

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Solution

The fourth proportional to 12,104.22, 16,702 and 6,798.01 is: 9,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.22 : 16,702 = 6,798.01 : x
  2. Step 2: Convert to fraction form
    12,104.22/16,702 = 6,798.01/x
  3. Step 3: Cross multiply
    12,104.22x = 16,702 × 6,798.01
  4. Step 4: Simplify right side
    12,104.22x = 113,540,363.02
  5. Step 5: Solve for x
    x = 113,540,363.02/12,104.22
  6. Step 6: Final answer
    x = 9,380.23

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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.