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Finding the Fourth Proportional to 30,922.36, 46,385.46 and 8,737.44

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Solution

The fourth proportional to 30,922.36, 46,385.46 and 8,737.44 is: 13,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.36 : 46,385.46 = 8,737.44 : x
  2. Step 2: Convert to fraction form
    30,922.36/46,385.46 = 8,737.44/x
  3. Step 3: Cross multiply
    30,922.36x = 46,385.46 × 8,737.44
  4. Step 4: Simplify right side
    30,922.36x = 405,289,999.68
  5. Step 5: Solve for x
    x = 405,289,999.68/30,922.36
  6. Step 6: Final answer
    x = 13,106.70

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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.