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Finding the Fourth Proportional to 9,206.92, 13,813.74 and 5,747.08

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Solution

The fourth proportional to 9,206.92, 13,813.74 and 5,747.08 is: 8,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.92 : 13,813.74 = 5,747.08 : x
  2. Step 2: Convert to fraction form
    9,206.92/13,813.74 = 5,747.08/x
  3. Step 3: Cross multiply
    9,206.92x = 13,813.74 × 5,747.08
  4. Step 4: Simplify right side
    9,206.92x = 79,388,668.88
  5. Step 5: Solve for x
    x = 79,388,668.88/9,206.92
  6. Step 6: Final answer
    x = 8,622.72

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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.