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Finding the Fourth Proportional to 5,540.75, 7,646.24 and 3,056.75

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Solution

The fourth proportional to 5,540.75, 7,646.24 and 3,056.75 is: 4,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.75 : 7,646.24 = 3,056.75 : x
  2. Step 2: Convert to fraction form
    5,540.75/7,646.24 = 3,056.75/x
  3. Step 3: Cross multiply
    5,540.75x = 7,646.24 × 3,056.75
  4. Step 4: Simplify right side
    5,540.75x = 23,372,644.12
  5. Step 5: Solve for x
    x = 23,372,644.12/5,540.75
  6. Step 6: Final answer
    x = 4,218.32

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Half 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.