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Finding the Fourth Proportional to 6,492.63, 9,736.74 and 2,109

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Solution

The fourth proportional to 6,492.63, 9,736.74 and 2,109 is: 3,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.63 : 9,736.74 = 2,109 : x
  2. Step 2: Convert to fraction form
    6,492.63/9,736.74 = 2,109/x
  3. Step 3: Cross multiply
    6,492.63x = 9,736.74 × 2,109
  4. Step 4: Simplify right side
    6,492.63x = 20,534,784.66
  5. Step 5: Solve for x
    x = 20,534,784.66/6,492.63
  6. Step 6: Final answer
    x = 3,162.78

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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.