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Finding the Fourth Proportional to 6,000.20, 8,280.29 and 3,347.78

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Solution

The fourth proportional to 6,000.20, 8,280.29 and 3,347.78 is: 4,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.20 : 8,280.29 = 3,347.78 : x
  2. Step 2: Convert to fraction form
    6,000.20/8,280.29 = 3,347.78/x
  3. Step 3: Cross multiply
    6,000.20x = 8,280.29 × 3,347.78
  4. Step 4: Simplify right side
    6,000.20x = 27,720,589.26
  5. Step 5: Solve for x
    x = 27,720,589.26/6,000.20
  6. Step 6: Final answer
    x = 4,619.94

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Half scale
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Double 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.