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Finding the Fourth Proportional to 7,222.80, 10,827.09 and 2,843.40

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Solution

The fourth proportional to 7,222.80, 10,827.09 and 2,843.40 is: 4,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.80 : 10,827.09 = 2,843.40 : x
  2. Step 2: Convert to fraction form
    7,222.80/10,827.09 = 2,843.40/x
  3. Step 3: Cross multiply
    7,222.80x = 10,827.09 × 2,843.40
  4. Step 4: Simplify right side
    7,222.80x = 30,785,747.71
  5. Step 5: Solve for x
    x = 30,785,747.71/7,222.80
  6. Step 6: Final answer
    x = 4,262.30

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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.