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Finding the Fourth Proportional to 6,846.54, 10,274.64 and 3,152.94

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Solution

The fourth proportional to 6,846.54, 10,274.64 and 3,152.94 is: 4,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.54 : 10,274.64 = 3,152.94 : x
  2. Step 2: Convert to fraction form
    6,846.54/10,274.64 = 3,152.94/x
  3. Step 3: Cross multiply
    6,846.54x = 10,274.64 × 3,152.94
  4. Step 4: Simplify right side
    6,846.54x = 32,395,323.44
  5. Step 5: Solve for x
    x = 32,395,323.44/6,846.54
  6. Step 6: Final answer
    x = 4,731.63

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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.