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Finding the Fourth Proportional to 6,102.38, 8,420.95 and 3,449.63

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Solution

The fourth proportional to 6,102.38, 8,420.95 and 3,449.63 is: 4,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.38 : 8,420.95 = 3,449.63 : x
  2. Step 2: Convert to fraction form
    6,102.38/8,420.95 = 3,449.63/x
  3. Step 3: Cross multiply
    6,102.38x = 8,420.95 × 3,449.63
  4. Step 4: Simplify right side
    6,102.38x = 29,049,161.75
  5. Step 5: Solve for x
    x = 29,049,161.75/6,102.38
  6. Step 6: Final answer
    x = 4,760.30

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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.