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Finding the Fourth Proportional to 11,644.12, 17,492.12 and 7,205.09

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Solution

The fourth proportional to 11,644.12, 17,492.12 and 7,205.09 is: 10,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.12 : 17,492.12 = 7,205.09 : x
  2. Step 2: Convert to fraction form
    11,644.12/17,492.12 = 7,205.09/x
  3. Step 3: Cross multiply
    11,644.12x = 17,492.12 × 7,205.09
  4. Step 4: Simplify right side
    11,644.12x = 126,032,202.42
  5. Step 5: Solve for x
    x = 126,032,202.42/11,644.12
  6. Step 6: Final answer
    x = 10,823.68

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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.