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Finding the Fourth Proportional to 27,814.53, 41,707.94 and 9,092.13

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Solution

The fourth proportional to 27,814.53, 41,707.94 and 9,092.13 is: 13,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.53 : 41,707.94 = 9,092.13 : x
  2. Step 2: Convert to fraction form
    27,814.53/41,707.94 = 9,092.13/x
  3. Step 3: Cross multiply
    27,814.53x = 41,707.94 × 9,092.13
  4. Step 4: Simplify right side
    27,814.53x = 379,213,967.05
  5. Step 5: Solve for x
    x = 379,213,967.05/27,814.53
  6. Step 6: Final answer
    x = 13,633.66

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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.