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Finding the Fourth Proportional to 6,836.46, 10,254.69 and 4,892.46

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Solution

The fourth proportional to 6,836.46, 10,254.69 and 4,892.46 is: 7,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.46 : 10,254.69 = 4,892.46 : x
  2. Step 2: Convert to fraction form
    6,836.46/10,254.69 = 4,892.46/x
  3. Step 3: Cross multiply
    6,836.46x = 10,254.69 × 4,892.46
  4. Step 4: Simplify right side
    6,836.46x = 50,170,660.64
  5. Step 5: Solve for x
    x = 50,170,660.64/6,836.46
  6. Step 6: Final answer
    x = 7,338.69

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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.