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Finding the Fourth Proportional to 12,296.96, 16,967.19 and 7,819.07

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Solution

The fourth proportional to 12,296.96, 16,967.19 and 7,819.07 is: 10,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.96 : 16,967.19 = 7,819.07 : x
  2. Step 2: Convert to fraction form
    12,296.96/16,967.19 = 7,819.07/x
  3. Step 3: Cross multiply
    12,296.96x = 16,967.19 × 7,819.07
  4. Step 4: Simplify right side
    12,296.96x = 132,667,688.73
  5. Step 5: Solve for x
    x = 132,667,688.73/12,296.96
  6. Step 6: Final answer
    x = 10,788.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.