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Finding the Fourth Proportional to 7,230.16, 10,846.04 and 2,847.04

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Solution

The fourth proportional to 7,230.16, 10,846.04 and 2,847.04 is: 4,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.16 : 10,846.04 = 2,847.04 : x
  2. Step 2: Convert to fraction form
    7,230.16/10,846.04 = 2,847.04/x
  3. Step 3: Cross multiply
    7,230.16x = 10,846.04 × 2,847.04
  4. Step 4: Simplify right side
    7,230.16x = 30,879,109.72
  5. Step 5: Solve for x
    x = 30,879,109.72/7,230.16
  6. Step 6: Final answer
    x = 4,270.88

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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.