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Finding the Fourth Proportional to 6,367.36, 8,785.94 and 3,534.66

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Solution

The fourth proportional to 6,367.36, 8,785.94 and 3,534.66 is: 4,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.36 : 8,785.94 = 3,534.66 : x
  2. Step 2: Convert to fraction form
    6,367.36/8,785.94 = 3,534.66/x
  3. Step 3: Cross multiply
    6,367.36x = 8,785.94 × 3,534.66
  4. Step 4: Simplify right side
    6,367.36x = 31,055,310.68
  5. Step 5: Solve for x
    x = 31,055,310.68/6,367.36
  6. Step 6: Final answer
    x = 4,877.27

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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.