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Finding the Fourth Proportional to 11,601.99, 17,402.95 and 4,206.43

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Solution

The fourth proportional to 11,601.99, 17,402.95 and 4,206.43 is: 6,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.99 : 17,402.95 = 4,206.43 : x
  2. Step 2: Convert to fraction form
    11,601.99/17,402.95 = 4,206.43/x
  3. Step 3: Cross multiply
    11,601.99x = 17,402.95 × 4,206.43
  4. Step 4: Simplify right side
    11,601.99x = 73,204,290.97
  5. Step 5: Solve for x
    x = 73,204,290.97/11,601.99
  6. Step 6: Final answer
    x = 6,309.63

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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.