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Finding the Fourth Proportional to 27,662.51, 41,493.67 and 11,866.20

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Solution

The fourth proportional to 27,662.51, 41,493.67 and 11,866.20 is: 17,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.51 : 41,493.67 = 11,866.20 : x
  2. Step 2: Convert to fraction form
    27,662.51/41,493.67 = 11,866.20/x
  3. Step 3: Cross multiply
    27,662.51x = 41,493.67 × 11,866.20
  4. Step 4: Simplify right side
    27,662.51x = 492,372,001.69
  5. Step 5: Solve for x
    x = 492,372,001.69/27,662.51
  6. Step 6: Final answer
    x = 17,799.25

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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.