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Finding the Fourth Proportional to 6,206.70, 9,311.55 and 1,824.15

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Solution

The fourth proportional to 6,206.70, 9,311.55 and 1,824.15 is: 2,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.70 : 9,311.55 = 1,824.15 : x
  2. Step 2: Convert to fraction form
    6,206.70/9,311.55 = 1,824.15/x
  3. Step 3: Cross multiply
    6,206.70x = 9,311.55 × 1,824.15
  4. Step 4: Simplify right side
    6,206.70x = 16,985,663.93
  5. Step 5: Solve for x
    x = 16,985,663.93/6,206.70
  6. Step 6: Final answer
    x = 2,736.67

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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.