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Finding the Fourth Proportional to 7,823.96, 11,707.98 and 6,796.07

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Solution

The fourth proportional to 7,823.96, 11,707.98 and 6,796.07 is: 10,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.96 : 11,707.98 = 6,796.07 : x
  2. Step 2: Convert to fraction form
    7,823.96/11,707.98 = 6,796.07/x
  3. Step 3: Cross multiply
    7,823.96x = 11,707.98 × 6,796.07
  4. Step 4: Simplify right side
    7,823.96x = 79,568,251.64
  5. Step 5: Solve for x
    x = 79,568,251.64/7,823.96
  6. Step 6: Final answer
    x = 10,169.82

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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.