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Finding the Fourth Proportional to 5,842.70, 8,764.05 and 2,143.70

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Solution

The fourth proportional to 5,842.70, 8,764.05 and 2,143.70 is: 3,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.70 : 8,764.05 = 2,143.70 : x
  2. Step 2: Convert to fraction form
    5,842.70/8,764.05 = 2,143.70/x
  3. Step 3: Cross multiply
    5,842.70x = 8,764.05 × 2,143.70
  4. Step 4: Simplify right side
    5,842.70x = 18,787,493.99
  5. Step 5: Solve for x
    x = 18,787,493.99/5,842.70
  6. Step 6: Final answer
    x = 3,215.55

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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.