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Finding the Fourth Proportional to 7,046.27, 9,723.17 and 4,213.08

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Solution

The fourth proportional to 7,046.27, 9,723.17 and 4,213.08 is: 5,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.27 : 9,723.17 = 4,213.08 : x
  2. Step 2: Convert to fraction form
    7,046.27/9,723.17 = 4,213.08/x
  3. Step 3: Cross multiply
    7,046.27x = 9,723.17 × 4,213.08
  4. Step 4: Simplify right side
    7,046.27x = 40,964,493.06
  5. Step 5: Solve for x
    x = 40,964,493.06/7,046.27
  6. Step 6: Final answer
    x = 5,813.64

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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.