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Finding the Fourth Proportional to 36,109.98, 54,164.81 and 9,814.64

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Solution

The fourth proportional to 36,109.98, 54,164.81 and 9,814.64 is: 14,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,109.98 : 54,164.81 = 9,814.64 : x
  2. Step 2: Convert to fraction form
    36,109.98/54,164.81 = 9,814.64/x
  3. Step 3: Cross multiply
    36,109.98x = 54,164.81 × 9,814.64
  4. Step 4: Simplify right side
    36,109.98x = 531,608,110.82
  5. Step 5: Solve for x
    x = 531,608,110.82/36,109.98
  6. Step 6: Final answer
    x = 14,721.92

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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.