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Finding the Fourth Proportional to 27,955.97, 41,938.09 and 9,237.98

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Solution

The fourth proportional to 27,955.97, 41,938.09 and 9,237.98 is: 13,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,955.97 : 41,938.09 = 9,237.98 : x
  2. Step 2: Convert to fraction form
    27,955.97/41,938.09 = 9,237.98/x
  3. Step 3: Cross multiply
    27,955.97x = 41,938.09 × 9,237.98
  4. Step 4: Simplify right side
    27,955.97x = 387,422,980.78
  5. Step 5: Solve for x
    x = 387,422,980.78/27,955.97
  6. Step 6: Final answer
    x = 13,858.33

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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.