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Finding the Fourth Proportional to 6,348.32, 8,763.04 and 3,830.54

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Solution

The fourth proportional to 6,348.32, 8,763.04 and 3,830.54 is: 5,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.32 : 8,763.04 = 3,830.54 : x
  2. Step 2: Convert to fraction form
    6,348.32/8,763.04 = 3,830.54/x
  3. Step 3: Cross multiply
    6,348.32x = 8,763.04 × 3,830.54
  4. Step 4: Simplify right side
    6,348.32x = 33,567,163.96
  5. Step 5: Solve for x
    x = 33,567,163.96/6,348.32
  6. Step 6: Final answer
    x = 5,287.56

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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.