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Finding the Fourth Proportional to 6,798.44, 9,400.32 and 5,923.64

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Solution

The fourth proportional to 6,798.44, 9,400.32 and 5,923.64 is: 8,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.44 : 9,400.32 = 5,923.64 : x
  2. Step 2: Convert to fraction form
    6,798.44/9,400.32 = 5,923.64/x
  3. Step 3: Cross multiply
    6,798.44x = 9,400.32 × 5,923.64
  4. Step 4: Simplify right side
    6,798.44x = 55,684,111.56
  5. Step 5: Solve for x
    x = 55,684,111.56/6,798.44
  6. Step 6: Final answer
    x = 8,190.72

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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.