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Finding the Fourth Proportional to 5,942.16, 8,911.42 and 2,246.13

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Solution

The fourth proportional to 5,942.16, 8,911.42 and 2,246.13 is: 3,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.16 : 8,911.42 = 2,246.13 : x
  2. Step 2: Convert to fraction form
    5,942.16/8,911.42 = 2,246.13/x
  3. Step 3: Cross multiply
    5,942.16x = 8,911.42 × 2,246.13
  4. Step 4: Simplify right side
    5,942.16x = 20,016,202.19
  5. Step 5: Solve for x
    x = 20,016,202.19/5,942.16
  6. Step 6: Final answer
    x = 3,368.51

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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.