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Finding the Fourth Proportional to 7,231.52, 10,846.46 and 4,906.46

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Solution

The fourth proportional to 7,231.52, 10,846.46 and 4,906.46 is: 7,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.52 : 10,846.46 = 4,906.46 : x
  2. Step 2: Convert to fraction form
    7,231.52/10,846.46 = 4,906.46/x
  3. Step 3: Cross multiply
    7,231.52x = 10,846.46 × 4,906.46
  4. Step 4: Simplify right side
    7,231.52x = 53,217,722.13
  5. Step 5: Solve for x
    x = 53,217,722.13/7,231.52
  6. Step 6: Final answer
    x = 7,359.13

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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.