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Finding the Fourth Proportional to 27,954.04, 41,918.10 and 10,419.16

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Solution

The fourth proportional to 27,954.04, 41,918.10 and 10,419.16 is: 15,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.04 : 41,918.10 = 10,419.16 : x
  2. Step 2: Convert to fraction form
    27,954.04/41,918.10 = 10,419.16/x
  3. Step 3: Cross multiply
    27,954.04x = 41,918.10 × 10,419.16
  4. Step 4: Simplify right side
    27,954.04x = 436,751,390.80
  5. Step 5: Solve for x
    x = 436,751,390.80/27,954.04
  6. Step 6: Final answer
    x = 15,623.91

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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.