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Finding the Fourth Proportional to 27,698.34, 41,538.60 and 11,899.08

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Solution

The fourth proportional to 27,698.34, 41,538.60 and 11,899.08 is: 17,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.34 : 41,538.60 = 11,899.08 : x
  2. Step 2: Convert to fraction form
    27,698.34/41,538.60 = 11,899.08/x
  3. Step 3: Cross multiply
    27,698.34x = 41,538.60 × 11,899.08
  4. Step 4: Simplify right side
    27,698.34x = 494,271,124.49
  5. Step 5: Solve for x
    x = 494,271,124.49/27,698.34
  6. Step 6: Final answer
    x = 17,844.79

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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.