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Finding the Fourth Proportional to 4,843.46, 7,256.02 and 2,863.16

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Solution

The fourth proportional to 4,843.46, 7,256.02 and 2,863.16 is: 4,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.46 : 7,256.02 = 2,863.16 : x
  2. Step 2: Convert to fraction form
    4,843.46/7,256.02 = 2,863.16/x
  3. Step 3: Cross multiply
    4,843.46x = 7,256.02 × 2,863.16
  4. Step 4: Simplify right side
    4,843.46x = 20,775,146.22
  5. Step 5: Solve for x
    x = 20,775,146.22/4,843.46
  6. Step 6: Final answer
    x = 4,289.32

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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.