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Finding the Fourth Proportional to 6,367.83, 9,551.70 and 5,546.67

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Solution

The fourth proportional to 6,367.83, 9,551.70 and 5,546.67 is: 8,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.83 : 9,551.70 = 5,546.67 : x
  2. Step 2: Convert to fraction form
    6,367.83/9,551.70 = 5,546.67/x
  3. Step 3: Cross multiply
    6,367.83x = 9,551.70 × 5,546.67
  4. Step 4: Simplify right side
    6,367.83x = 52,980,127.84
  5. Step 5: Solve for x
    x = 52,980,127.84/6,367.83
  6. Step 6: Final answer
    x = 8,319.97

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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.