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Finding the Fourth Proportional to 10,861.60, 16,268.10 and 8,388.40

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Solution

The fourth proportional to 10,861.60, 16,268.10 and 8,388.40 is: 12,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.60 : 16,268.10 = 8,388.40 : x
  2. Step 2: Convert to fraction form
    10,861.60/16,268.10 = 8,388.40/x
  3. Step 3: Cross multiply
    10,861.60x = 16,268.10 × 8,388.40
  4. Step 4: Simplify right side
    10,861.60x = 136,463,330.04
  5. Step 5: Solve for x
    x = 136,463,330.04/10,861.60
  6. Step 6: Final answer
    x = 12,563.83

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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.