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Finding the Fourth Proportional to 5,806.94, 8,711.46 and 2,114.34

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Solution

The fourth proportional to 5,806.94, 8,711.46 and 2,114.34 is: 3,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.94 : 8,711.46 = 2,114.34 : x
  2. Step 2: Convert to fraction form
    5,806.94/8,711.46 = 2,114.34/x
  3. Step 3: Cross multiply
    5,806.94x = 8,711.46 × 2,114.34
  4. Step 4: Simplify right side
    5,806.94x = 18,418,988.34
  5. Step 5: Solve for x
    x = 18,418,988.34/5,806.94
  6. Step 6: Final answer
    x = 3,171.89

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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.