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Finding the Fourth Proportional to 6,739.38, 9,292.82 and 5,794.10

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Solution

The fourth proportional to 6,739.38, 9,292.82 and 5,794.10 is: 7,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.38 : 9,292.82 = 5,794.10 : x
  2. Step 2: Convert to fraction form
    6,739.38/9,292.82 = 5,794.10/x
  3. Step 3: Cross multiply
    6,739.38x = 9,292.82 × 5,794.10
  4. Step 4: Simplify right side
    6,739.38x = 53,843,528.36
  5. Step 5: Solve for x
    x = 53,843,528.36/6,739.38
  6. Step 6: Final answer
    x = 7,989.39

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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.