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Finding the Fourth Proportional to 30,983.46, 46,475.09 and 8,796.85

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Solution

The fourth proportional to 30,983.46, 46,475.09 and 8,796.85 is: 13,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.46 : 46,475.09 = 8,796.85 : x
  2. Step 2: Convert to fraction form
    30,983.46/46,475.09 = 8,796.85/x
  3. Step 3: Cross multiply
    30,983.46x = 46,475.09 × 8,796.85
  4. Step 4: Simplify right side
    30,983.46x = 408,834,395.47
  5. Step 5: Solve for x
    x = 408,834,395.47/30,983.46
  6. Step 6: Final answer
    x = 13,195.25

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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.