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Finding the Fourth Proportional to 6,843.57, 9,437.83 and 4,321.32

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Solution

The fourth proportional to 6,843.57, 9,437.83 and 4,321.32 is: 5,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.57 : 9,437.83 = 4,321.32 : x
  2. Step 2: Convert to fraction form
    6,843.57/9,437.83 = 4,321.32/x
  3. Step 3: Cross multiply
    6,843.57x = 9,437.83 × 4,321.32
  4. Step 4: Simplify right side
    6,843.57x = 40,783,883.54
  5. Step 5: Solve for x
    x = 40,783,883.54/6,843.57
  6. Step 6: Final answer
    x = 5,959.45

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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.