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Finding the Fourth Proportional to 4,817.84, 7,227.84 and 2,006.72

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Solution

The fourth proportional to 4,817.84, 7,227.84 and 2,006.72 is: 3,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.84 : 7,227.84 = 2,006.72 : x
  2. Step 2: Convert to fraction form
    4,817.84/7,227.84 = 2,006.72/x
  3. Step 3: Cross multiply
    4,817.84x = 7,227.84 × 2,006.72
  4. Step 4: Simplify right side
    4,817.84x = 14,504,251.08
  5. Step 5: Solve for x
    x = 14,504,251.08/4,817.84
  6. Step 6: Final answer
    x = 3,010.53

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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.