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Finding the Fourth Proportional to 9,591.82, 13,232.11 and 6,235.68

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Solution

The fourth proportional to 9,591.82, 13,232.11 and 6,235.68 is: 8,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.82 : 13,232.11 = 6,235.68 : x
  2. Step 2: Convert to fraction form
    9,591.82/13,232.11 = 6,235.68/x
  3. Step 3: Cross multiply
    9,591.82x = 13,232.11 × 6,235.68
  4. Step 4: Simplify right side
    9,591.82x = 82,511,249.41
  5. Step 5: Solve for x
    x = 82,511,249.41/9,591.82
  6. Step 6: Final answer
    x = 8,602.25

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Half scale
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Double scale
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Similar ratio
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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.