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Finding the Fourth Proportional to 27,791.34, 41,693.46 and 8,070.24

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Solution

The fourth proportional to 27,791.34, 41,693.46 and 8,070.24 is: 12,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.34 : 41,693.46 = 8,070.24 : x
  2. Step 2: Convert to fraction form
    27,791.34/41,693.46 = 8,070.24/x
  3. Step 3: Cross multiply
    27,791.34x = 41,693.46 × 8,070.24
  4. Step 4: Simplify right side
    27,791.34x = 336,476,228.63
  5. Step 5: Solve for x
    x = 336,476,228.63/27,791.34
  6. Step 6: Final answer
    x = 12,107.23

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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.