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Finding the Fourth Proportional to 4,611.26, 6,914.84 and 1,323.60

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Solution

The fourth proportional to 4,611.26, 6,914.84 and 1,323.60 is: 1,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.26 : 6,914.84 = 1,323.60 : x
  2. Step 2: Convert to fraction form
    4,611.26/6,914.84 = 1,323.60/x
  3. Step 3: Cross multiply
    4,611.26x = 6,914.84 × 1,323.60
  4. Step 4: Simplify right side
    4,611.26x = 9,152,482.22
  5. Step 5: Solve for x
    x = 9,152,482.22/4,611.26
  6. Step 6: Final answer
    x = 1,984.81

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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.