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Finding the Fourth Proportional to 6,813.61, 9,427.67 and 5,932.33

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Solution

The fourth proportional to 6,813.61, 9,427.67 and 5,932.33 is: 8,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.61 : 9,427.67 = 5,932.33 : x
  2. Step 2: Convert to fraction form
    6,813.61/9,427.67 = 5,932.33/x
  3. Step 3: Cross multiply
    6,813.61x = 9,427.67 × 5,932.33
  4. Step 4: Simplify right side
    6,813.61x = 55,928,049.57
  5. Step 5: Solve for x
    x = 55,928,049.57/6,813.61
  6. Step 6: Final answer
    x = 8,208.28

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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.