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Finding the Fourth Proportional to 9,863.82, 13,615.11 and 5,674.86

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Solution

The fourth proportional to 9,863.82, 13,615.11 and 5,674.86 is: 7,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.82 : 13,615.11 = 5,674.86 : x
  2. Step 2: Convert to fraction form
    9,863.82/13,615.11 = 5,674.86/x
  3. Step 3: Cross multiply
    9,863.82x = 13,615.11 × 5,674.86
  4. Step 4: Simplify right side
    9,863.82x = 77,263,843.13
  5. Step 5: Solve for x
    x = 77,263,843.13/9,863.82
  6. Step 6: Final answer
    x = 7,833.05

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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.