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Finding the Fourth Proportional to 27,782.09, 41,674.47 and 9,062.09

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Solution

The fourth proportional to 27,782.09, 41,674.47 and 9,062.09 is: 13,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.09 : 41,674.47 = 9,062.09 : x
  2. Step 2: Convert to fraction form
    27,782.09/41,674.47 = 9,062.09/x
  3. Step 3: Cross multiply
    27,782.09x = 41,674.47 × 9,062.09
  4. Step 4: Simplify right side
    27,782.09x = 377,657,589.47
  5. Step 5: Solve for x
    x = 377,657,589.47/27,782.09
  6. Step 6: Final answer
    x = 13,593.57

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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.