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Finding the Fourth Proportional to 8,157.10, 12,236.12 and 2,313.25

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Solution

The fourth proportional to 8,157.10, 12,236.12 and 2,313.25 is: 3,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.10 : 12,236.12 = 2,313.25 : x
  2. Step 2: Convert to fraction form
    8,157.10/12,236.12 = 2,313.25/x
  3. Step 3: Cross multiply
    8,157.10x = 12,236.12 × 2,313.25
  4. Step 4: Simplify right side
    8,157.10x = 28,305,204.59
  5. Step 5: Solve for x
    x = 28,305,204.59/8,157.10
  6. Step 6: Final answer
    x = 3,470.01

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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.