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Finding the Fourth Proportional to 11,313, 16,970.94 and 3,105

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Solution

The fourth proportional to 11,313, 16,970.94 and 3,105 is: 4,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313 : 16,970.94 = 3,105 : x
  2. Step 2: Convert to fraction form
    11,313/16,970.94 = 3,105/x
  3. Step 3: Cross multiply
    11,313x = 16,970.94 × 3,105
  4. Step 4: Simplify right side
    11,313x = 52,694,768.70
  5. Step 5: Solve for x
    x = 52,694,768.70/11,313
  6. Step 6: Final answer
    x = 4,657.90

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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.