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Finding the Fourth Proportional to 27,809.51, 41,718.82 and 9,084.11

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Solution

The fourth proportional to 27,809.51, 41,718.82 and 9,084.11 is: 13,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.51 : 41,718.82 = 9,084.11 : x
  2. Step 2: Convert to fraction form
    27,809.51/41,718.82 = 9,084.11/x
  3. Step 3: Cross multiply
    27,809.51x = 41,718.82 × 9,084.11
  4. Step 4: Simplify right side
    27,809.51x = 378,978,431.54
  5. Step 5: Solve for x
    x = 378,978,431.54/27,809.51
  6. Step 6: Final answer
    x = 13,627.65

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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.