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Finding the Fourth Proportional to 9,863.79, 13,609.80 and 5,884.13

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Solution

The fourth proportional to 9,863.79, 13,609.80 and 5,884.13 is: 8,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.79 : 13,609.80 = 5,884.13 : x
  2. Step 2: Convert to fraction form
    9,863.79/13,609.80 = 5,884.13/x
  3. Step 3: Cross multiply
    9,863.79x = 13,609.80 × 5,884.13
  4. Step 4: Simplify right side
    9,863.79x = 80,081,764.43
  5. Step 5: Solve for x
    x = 80,081,764.43/9,863.79
  6. Step 6: Final answer
    x = 8,118.76

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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.