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Finding the Fourth Proportional to 7,226.27, 9,964.36 and 4,703.73

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Solution

The fourth proportional to 7,226.27, 9,964.36 and 4,703.73 is: 6,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.27 : 9,964.36 = 4,703.73 : x
  2. Step 2: Convert to fraction form
    7,226.27/9,964.36 = 4,703.73/x
  3. Step 3: Cross multiply
    7,226.27x = 9,964.36 × 4,703.73
  4. Step 4: Simplify right side
    7,226.27x = 46,869,659.06
  5. Step 5: Solve for x
    x = 46,869,659.06/7,226.27
  6. Step 6: Final answer
    x = 6,486.01

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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.