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Finding the Fourth Proportional to 4,843.68, 7,267.16 and 1,922.84

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Solution

The fourth proportional to 4,843.68, 7,267.16 and 1,922.84 is: 2,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.68 : 7,267.16 = 1,922.84 : x
  2. Step 2: Convert to fraction form
    4,843.68/7,267.16 = 1,922.84/x
  3. Step 3: Cross multiply
    4,843.68x = 7,267.16 × 1,922.84
  4. Step 4: Simplify right side
    4,843.68x = 13,973,585.93
  5. Step 5: Solve for x
    x = 13,973,585.93/4,843.68
  6. Step 6: Final answer
    x = 2,884.91

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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.