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Finding the Fourth Proportional to 30,803.84, 46,198.94 and 8,611.25

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Solution

The fourth proportional to 30,803.84, 46,198.94 and 8,611.25 is: 12,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.84 : 46,198.94 = 8,611.25 : x
  2. Step 2: Convert to fraction form
    30,803.84/46,198.94 = 8,611.25/x
  3. Step 3: Cross multiply
    30,803.84x = 46,198.94 × 8,611.25
  4. Step 4: Simplify right side
    30,803.84x = 397,830,412.61
  5. Step 5: Solve for x
    x = 397,830,412.61/30,803.84
  6. Step 6: Final answer
    x = 12,914.96

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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.