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Finding the Fourth Proportional to 6,344.49, 9,516.79 and 2,834.67

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Solution

The fourth proportional to 6,344.49, 9,516.79 and 2,834.67 is: 4,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.49 : 9,516.79 = 2,834.67 : x
  2. Step 2: Convert to fraction form
    6,344.49/9,516.79 = 2,834.67/x
  3. Step 3: Cross multiply
    6,344.49x = 9,516.79 × 2,834.67
  4. Step 4: Simplify right side
    6,344.49x = 26,976,959.11
  5. Step 5: Solve for x
    x = 26,976,959.11/6,344.49
  6. Step 6: Final answer
    x = 4,252.03

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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.