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Finding the Fourth Proportional to 4,857, 6,700.26 and 3,063.66

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Solution

The fourth proportional to 4,857, 6,700.26 and 3,063.66 is: 4,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857 : 6,700.26 = 3,063.66 : x
  2. Step 2: Convert to fraction form
    4,857/6,700.26 = 3,063.66/x
  3. Step 3: Cross multiply
    4,857x = 6,700.26 × 3,063.66
  4. Step 4: Simplify right side
    4,857x = 20,527,318.55
  5. Step 5: Solve for x
    x = 20,527,318.55/4,857
  6. Step 6: Final answer
    x = 4,226.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.