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Finding the Fourth Proportional to 11,473.44, 17,209.45 and 6,823.04

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Solution

The fourth proportional to 11,473.44, 17,209.45 and 6,823.04 is: 10,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.44 : 17,209.45 = 6,823.04 : x
  2. Step 2: Convert to fraction form
    11,473.44/17,209.45 = 6,823.04/x
  3. Step 3: Cross multiply
    11,473.44x = 17,209.45 × 6,823.04
  4. Step 4: Simplify right side
    11,473.44x = 117,420,705.65
  5. Step 5: Solve for x
    x = 117,420,705.65/11,473.44
  6. Step 6: Final answer
    x = 10,234.14

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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.