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Finding the Fourth Proportional to 7,797.36, 11,674.92 and 5,191.92

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Solution

The fourth proportional to 7,797.36, 11,674.92 and 5,191.92 is: 7,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.36 : 11,674.92 = 5,191.92 : x
  2. Step 2: Convert to fraction form
    7,797.36/11,674.92 = 5,191.92/x
  3. Step 3: Cross multiply
    7,797.36x = 11,674.92 × 5,191.92
  4. Step 4: Simplify right side
    7,797.36x = 60,615,250.65
  5. Step 5: Solve for x
    x = 60,615,250.65/7,797.36
  6. Step 6: Final answer
    x = 7,773.82

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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.