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Finding the Fourth Proportional to 4,986.24, 7,478.01 and 2,522.49

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Solution

The fourth proportional to 4,986.24, 7,478.01 and 2,522.49 is: 3,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.24 : 7,478.01 = 2,522.49 : x
  2. Step 2: Convert to fraction form
    4,986.24/7,478.01 = 2,522.49/x
  3. Step 3: Cross multiply
    4,986.24x = 7,478.01 × 2,522.49
  4. Step 4: Simplify right side
    4,986.24x = 18,863,205.44
  5. Step 5: Solve for x
    x = 18,863,205.44/4,986.24
  6. Step 6: Final answer
    x = 3,783.05

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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.