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Finding the Fourth Proportional to 6,684.75, 9,204.35 and 5,937.41

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Solution

The fourth proportional to 6,684.75, 9,204.35 and 5,937.41 is: 8,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.75 : 9,204.35 = 5,937.41 : x
  2. Step 2: Convert to fraction form
    6,684.75/9,204.35 = 5,937.41/x
  3. Step 3: Cross multiply
    6,684.75x = 9,204.35 × 5,937.41
  4. Step 4: Simplify right side
    6,684.75x = 54,649,999.73
  5. Step 5: Solve for x
    x = 54,649,999.73/6,684.75
  6. Step 6: Final answer
    x = 8,175.32

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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.