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Finding the Fourth Proportional to 7,229, 10,838.52 and 2,846.96

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Solution

The fourth proportional to 7,229, 10,838.52 and 2,846.96 is: 4,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229 : 10,838.52 = 2,846.96 : x
  2. Step 2: Convert to fraction form
    7,229/10,838.52 = 2,846.96/x
  3. Step 3: Cross multiply
    7,229x = 10,838.52 × 2,846.96
  4. Step 4: Simplify right side
    7,229x = 30,856,832.90
  5. Step 5: Solve for x
    x = 30,856,832.90/7,229
  6. Step 6: Final answer
    x = 4,268.48

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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.