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Finding the Fourth Proportional to 6,823.70, 10,234.20 and 3,313.70

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Solution

The fourth proportional to 6,823.70, 10,234.20 and 3,313.70 is: 4,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.70 : 10,234.20 = 3,313.70 : x
  2. Step 2: Convert to fraction form
    6,823.70/10,234.20 = 3,313.70/x
  3. Step 3: Cross multiply
    6,823.70x = 10,234.20 × 3,313.70
  4. Step 4: Simplify right side
    6,823.70x = 33,913,068.54
  5. Step 5: Solve for x
    x = 33,913,068.54/6,823.70
  6. Step 6: Final answer
    x = 4,969.89

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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.