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Finding the Fourth Proportional to 27,782.68, 41,674.02 and 9,327.64

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Solution

The fourth proportional to 27,782.68, 41,674.02 and 9,327.64 is: 13,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.68 : 41,674.02 = 9,327.64 : x
  2. Step 2: Convert to fraction form
    27,782.68/41,674.02 = 9,327.64/x
  3. Step 3: Cross multiply
    27,782.68x = 41,674.02 × 9,327.64
  4. Step 4: Simplify right side
    27,782.68x = 388,720,255.91
  5. Step 5: Solve for x
    x = 388,720,255.91/27,782.68
  6. Step 6: Final answer
    x = 13,991.46

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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.