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Finding the Fourth Proportional to 6,000.43, 8,280.40 and 3,274.86

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Solution

The fourth proportional to 6,000.43, 8,280.40 and 3,274.86 is: 4,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.43 : 8,280.40 = 3,274.86 : x
  2. Step 2: Convert to fraction form
    6,000.43/8,280.40 = 3,274.86/x
  3. Step 3: Cross multiply
    6,000.43x = 8,280.40 × 3,274.86
  4. Step 4: Simplify right side
    6,000.43x = 27,117,150.74
  5. Step 5: Solve for x
    x = 27,117,150.74/6,000.43
  6. Step 6: Final answer
    x = 4,519.20

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Half scale
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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.