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Finding the Fourth Proportional to 12,992.96, 19,497.12 and 5,496.09

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Solution

The fourth proportional to 12,992.96, 19,497.12 and 5,496.09 is: 8,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.96 : 19,497.12 = 5,496.09 : x
  2. Step 2: Convert to fraction form
    12,992.96/19,497.12 = 5,496.09/x
  3. Step 3: Cross multiply
    12,992.96x = 19,497.12 × 5,496.09
  4. Step 4: Simplify right side
    12,992.96x = 107,157,926.26
  5. Step 5: Solve for x
    x = 107,157,926.26/12,992.96
  6. Step 6: Final answer
    x = 8,247.39

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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.