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Finding the Fourth Proportional to 6,838.37, 10,250.23 and 4,884.65

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Solution

The fourth proportional to 6,838.37, 10,250.23 and 4,884.65 is: 7,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.37 : 10,250.23 = 4,884.65 : x
  2. Step 2: Convert to fraction form
    6,838.37/10,250.23 = 4,884.65/x
  3. Step 3: Cross multiply
    6,838.37x = 10,250.23 × 4,884.65
  4. Step 4: Simplify right side
    6,838.37x = 50,068,785.97
  5. Step 5: Solve for x
    x = 50,068,785.97/6,838.37
  6. Step 6: Final answer
    x = 7,321.74

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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.