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Finding the Fourth Proportional to 9,791.85, 13,514.94 and 6,015.09

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Solution

The fourth proportional to 9,791.85, 13,514.94 and 6,015.09 is: 8,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.85 : 13,514.94 = 6,015.09 : x
  2. Step 2: Convert to fraction form
    9,791.85/13,514.94 = 6,015.09/x
  3. Step 3: Cross multiply
    9,791.85x = 13,514.94 × 6,015.09
  4. Step 4: Simplify right side
    9,791.85x = 81,293,580.44
  5. Step 5: Solve for x
    x = 81,293,580.44/9,791.85
  6. Step 6: Final answer
    x = 8,302.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.