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Finding the Fourth Proportional to 4,574.76, 6,860.78 and 1,942.22

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Solution

The fourth proportional to 4,574.76, 6,860.78 and 1,942.22 is: 2,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.76 : 6,860.78 = 1,942.22 : x
  2. Step 2: Convert to fraction form
    4,574.76/6,860.78 = 1,942.22/x
  3. Step 3: Cross multiply
    4,574.76x = 6,860.78 × 1,942.22
  4. Step 4: Simplify right side
    4,574.76x = 13,325,134.42
  5. Step 5: Solve for x
    x = 13,325,134.42/4,574.76
  6. Step 6: Final answer
    x = 2,912.75

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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.