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Finding the Fourth Proportional to 4,407.42, 6,611.10 and 1,942.23

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Solution

The fourth proportional to 4,407.42, 6,611.10 and 1,942.23 is: 2,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.42 : 6,611.10 = 1,942.23 : x
  2. Step 2: Convert to fraction form
    4,407.42/6,611.10 = 1,942.23/x
  3. Step 3: Cross multiply
    4,407.42x = 6,611.10 × 1,942.23
  4. Step 4: Simplify right side
    4,407.42x = 12,840,276.75
  5. Step 5: Solve for x
    x = 12,840,276.75/4,407.42
  6. Step 6: Final answer
    x = 2,913.33

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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.