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Finding the Fourth Proportional to 14,935, 22,405.38 and 6,727

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Solution

The fourth proportional to 14,935, 22,405.38 and 6,727 is: 10,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935 : 22,405.38 = 6,727 : x
  2. Step 2: Convert to fraction form
    14,935/22,405.38 = 6,727/x
  3. Step 3: Cross multiply
    14,935x = 22,405.38 × 6,727
  4. Step 4: Simplify right side
    14,935x = 150,720,991.26
  5. Step 5: Solve for x
    x = 150,720,991.26/14,935
  6. Step 6: Final answer
    x = 10,091.80

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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.