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Finding the Fourth Proportional to 8,512.20, 12,768.30 and 8,457.60

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Solution

The fourth proportional to 8,512.20, 12,768.30 and 8,457.60 is: 12,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.20 : 12,768.30 = 8,457.60 : x
  2. Step 2: Convert to fraction form
    8,512.20/12,768.30 = 8,457.60/x
  3. Step 3: Cross multiply
    8,512.20x = 12,768.30 × 8,457.60
  4. Step 4: Simplify right side
    8,512.20x = 107,989,174.08
  5. Step 5: Solve for x
    x = 107,989,174.08/8,512.20
  6. Step 6: Final answer
    x = 12,686.40

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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.