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Finding the Fourth Proportional to 11,889.82, 17,814.14 and 6,259.16

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Solution

The fourth proportional to 11,889.82, 17,814.14 and 6,259.16 is: 9,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.82 : 17,814.14 = 6,259.16 : x
  2. Step 2: Convert to fraction form
    11,889.82/17,814.14 = 6,259.16/x
  3. Step 3: Cross multiply
    11,889.82x = 17,814.14 × 6,259.16
  4. Step 4: Simplify right side
    11,889.82x = 111,501,589.23
  5. Step 5: Solve for x
    x = 111,501,589.23/11,889.82
  6. Step 6: Final answer
    x = 9,377.90

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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.