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Finding the Fourth Proportional to 30,794.94, 46,188.41 and 9,737.10

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Solution

The fourth proportional to 30,794.94, 46,188.41 and 9,737.10 is: 14,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.94 : 46,188.41 = 9,737.10 : x
  2. Step 2: Convert to fraction form
    30,794.94/46,188.41 = 9,737.10/x
  3. Step 3: Cross multiply
    30,794.94x = 46,188.41 × 9,737.10
  4. Step 4: Simplify right side
    30,794.94x = 449,741,118.33
  5. Step 5: Solve for x
    x = 449,741,118.33/30,794.94
  6. Step 6: Final answer
    x = 14,604.38

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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.