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Finding the Fourth Proportional to 12,027.96, 16,592.94 and 7,834.68

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Solution

The fourth proportional to 12,027.96, 16,592.94 and 7,834.68 is: 10,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.96 : 16,592.94 = 7,834.68 : x
  2. Step 2: Convert to fraction form
    12,027.96/16,592.94 = 7,834.68/x
  3. Step 3: Cross multiply
    12,027.96x = 16,592.94 × 7,834.68
  4. Step 4: Simplify right side
    12,027.96x = 130,000,375.16
  5. Step 5: Solve for x
    x = 130,000,375.16/12,027.96
  6. Step 6: Final answer
    x = 10,808.18

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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.