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Finding the Fourth Proportional to 7,706.64, 11,559.96 and 1,863.24

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Solution

The fourth proportional to 7,706.64, 11,559.96 and 1,863.24 is: 2,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.64 : 11,559.96 = 1,863.24 : x
  2. Step 2: Convert to fraction form
    7,706.64/11,559.96 = 1,863.24/x
  3. Step 3: Cross multiply
    7,706.64x = 11,559.96 × 1,863.24
  4. Step 4: Simplify right side
    7,706.64x = 21,538,979.87
  5. Step 5: Solve for x
    x = 21,538,979.87/7,706.64
  6. Step 6: Final answer
    x = 2,794.86

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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.