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Finding the Fourth Proportional to 8,311.64, 12,476.58 and 4,150.48

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Solution

The fourth proportional to 8,311.64, 12,476.58 and 4,150.48 is: 6,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.64 : 12,476.58 = 4,150.48 : x
  2. Step 2: Convert to fraction form
    8,311.64/12,476.58 = 4,150.48/x
  3. Step 3: Cross multiply
    8,311.64x = 12,476.58 × 4,150.48
  4. Step 4: Simplify right side
    8,311.64x = 51,783,795.76
  5. Step 5: Solve for x
    x = 51,783,795.76/8,311.64
  6. Step 6: Final answer
    x = 6,230.27

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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.