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Finding the Fourth Proportional to 11,806.86, 17,710.29 and 11,294.37

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Solution

The fourth proportional to 11,806.86, 17,710.29 and 11,294.37 is: 16,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.86 : 17,710.29 = 11,294.37 : x
  2. Step 2: Convert to fraction form
    11,806.86/17,710.29 = 11,294.37/x
  3. Step 3: Cross multiply
    11,806.86x = 17,710.29 × 11,294.37
  4. Step 4: Simplify right side
    11,806.86x = 200,026,568.07
  5. Step 5: Solve for x
    x = 200,026,568.07/11,806.86
  6. Step 6: Final answer
    x = 16,941.56

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1.5x scale

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.