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Finding the Fourth Proportional to 6,238.84, 8,609.47 and 3,406.24

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Solution

The fourth proportional to 6,238.84, 8,609.47 and 3,406.24 is: 4,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.84 : 8,609.47 = 3,406.24 : x
  2. Step 2: Convert to fraction form
    6,238.84/8,609.47 = 3,406.24/x
  3. Step 3: Cross multiply
    6,238.84x = 8,609.47 × 3,406.24
  4. Step 4: Simplify right side
    6,238.84x = 29,325,917.38
  5. Step 5: Solve for x
    x = 29,325,917.38/6,238.84
  6. Step 6: Final answer
    x = 4,700.54

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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.