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Finding the Fourth Proportional to 6,234.30, 9,364.41 and 4,944.78

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Solution

The fourth proportional to 6,234.30, 9,364.41 and 4,944.78 is: 7,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.30 : 9,364.41 = 4,944.78 : x
  2. Step 2: Convert to fraction form
    6,234.30/9,364.41 = 4,944.78/x
  3. Step 3: Cross multiply
    6,234.30x = 9,364.41 × 4,944.78
  4. Step 4: Simplify right side
    6,234.30x = 46,304,947.28
  5. Step 5: Solve for x
    x = 46,304,947.28/6,234.30
  6. Step 6: Final answer
    x = 7,427.45

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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.