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Finding the Fourth Proportional to 27,615.16, 41,418.42 and 9,147.16

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Solution

The fourth proportional to 27,615.16, 41,418.42 and 9,147.16 is: 13,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.16 : 41,418.42 = 9,147.16 : x
  2. Step 2: Convert to fraction form
    27,615.16/41,418.42 = 9,147.16/x
  3. Step 3: Cross multiply
    27,615.16x = 41,418.42 × 9,147.16
  4. Step 4: Simplify right side
    27,615.16x = 378,860,914.69
  5. Step 5: Solve for x
    x = 378,860,914.69/27,615.16
  6. Step 6: Final answer
    x = 13,719.31

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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.