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Finding the Fourth Proportional to 5,713.99, 8,571.18 and 1,965.74

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Solution

The fourth proportional to 5,713.99, 8,571.18 and 1,965.74 is: 2,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.99 : 8,571.18 = 1,965.74 : x
  2. Step 2: Convert to fraction form
    5,713.99/8,571.18 = 1,965.74/x
  3. Step 3: Cross multiply
    5,713.99x = 8,571.18 × 1,965.74
  4. Step 4: Simplify right side
    5,713.99x = 16,848,700.66
  5. Step 5: Solve for x
    x = 16,848,700.66/5,713.99
  6. Step 6: Final answer
    x = 2,948.67

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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.