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Finding the Fourth Proportional to 11,305, 16,957.98 and 3,097

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Solution

The fourth proportional to 11,305, 16,957.98 and 3,097 is: 4,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305 : 16,957.98 = 3,097 : x
  2. Step 2: Convert to fraction form
    11,305/16,957.98 = 3,097/x
  3. Step 3: Cross multiply
    11,305x = 16,957.98 × 3,097
  4. Step 4: Simplify right side
    11,305x = 52,518,864.06
  5. Step 5: Solve for x
    x = 52,518,864.06/11,305
  6. Step 6: Final answer
    x = 4,645.63

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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.