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Finding the Fourth Proportional to 9,794.88, 13,514.31 and 6,261.66

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Solution

The fourth proportional to 9,794.88, 13,514.31 and 6,261.66 is: 8,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.88 : 13,514.31 = 6,261.66 : x
  2. Step 2: Convert to fraction form
    9,794.88/13,514.31 = 6,261.66/x
  3. Step 3: Cross multiply
    9,794.88x = 13,514.31 × 6,261.66
  4. Step 4: Simplify right side
    9,794.88x = 84,622,014.35
  5. Step 5: Solve for x
    x = 84,622,014.35/9,794.88
  6. Step 6: Final answer
    x = 8,639.41

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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.