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Finding the Fourth Proportional to 11,015.36, 16,523.06 and 7,743.09

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Solution

The fourth proportional to 11,015.36, 16,523.06 and 7,743.09 is: 11,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,015.36 : 16,523.06 = 7,743.09 : x
  2. Step 2: Convert to fraction form
    11,015.36/16,523.06 = 7,743.09/x
  3. Step 3: Cross multiply
    11,015.36x = 16,523.06 × 7,743.09
  4. Step 4: Simplify right side
    11,015.36x = 127,939,501.94
  5. Step 5: Solve for x
    x = 127,939,501.94/11,015.36
  6. Step 6: Final answer
    x = 11,614.65

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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.