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Finding the Fourth Proportional to 32,427.25, 48,640.89 and 7,803.25

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Solution

The fourth proportional to 32,427.25, 48,640.89 and 7,803.25 is: 11,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.25 : 48,640.89 = 7,803.25 : x
  2. Step 2: Convert to fraction form
    32,427.25/48,640.89 = 7,803.25/x
  3. Step 3: Cross multiply
    32,427.25x = 48,640.89 × 7,803.25
  4. Step 4: Simplify right side
    32,427.25x = 379,557,024.89
  5. Step 5: Solve for x
    x = 379,557,024.89/32,427.25
  6. Step 6: Final answer
    x = 11,704.88

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.