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Finding the Fourth Proportional to 6,295.08, 9,443.37 and 4,738.26

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Solution

The fourth proportional to 6,295.08, 9,443.37 and 4,738.26 is: 7,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.08 : 9,443.37 = 4,738.26 : x
  2. Step 2: Convert to fraction form
    6,295.08/9,443.37 = 4,738.26/x
  3. Step 3: Cross multiply
    6,295.08x = 9,443.37 × 4,738.26
  4. Step 4: Simplify right side
    6,295.08x = 44,745,142.34
  5. Step 5: Solve for x
    x = 44,745,142.34/6,295.08
  6. Step 6: Final answer
    x = 7,107.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.