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Finding the Fourth Proportional to 6,794.94, 9,369.63 and 5,902.86

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Solution

The fourth proportional to 6,794.94, 9,369.63 and 5,902.86 is: 8,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.94 : 9,369.63 = 5,902.86 : x
  2. Step 2: Convert to fraction form
    6,794.94/9,369.63 = 5,902.86/x
  3. Step 3: Cross multiply
    6,794.94x = 9,369.63 × 5,902.86
  4. Step 4: Simplify right side
    6,794.94x = 55,307,614.14
  5. Step 5: Solve for x
    x = 55,307,614.14/6,794.94
  6. Step 6: Final answer
    x = 8,139.53

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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.