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Finding the Fourth Proportional to 30,983.24, 46,474.80 and 8,796.82

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Solution

The fourth proportional to 30,983.24, 46,474.80 and 8,796.82 is: 13,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.24 : 46,474.80 = 8,796.82 : x
  2. Step 2: Convert to fraction form
    30,983.24/46,474.80 = 8,796.82/x
  3. Step 3: Cross multiply
    30,983.24x = 46,474.80 × 8,796.82
  4. Step 4: Simplify right side
    30,983.24x = 408,830,450.14
  5. Step 5: Solve for x
    x = 408,830,450.14/30,983.24
  6. Step 6: Final answer
    x = 13,195.21

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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.