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Finding the Fourth Proportional to 5,495.96, 7,584.97 and 3,138.46

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Solution

The fourth proportional to 5,495.96, 7,584.97 and 3,138.46 is: 4,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.96 : 7,584.97 = 3,138.46 : x
  2. Step 2: Convert to fraction form
    5,495.96/7,584.97 = 3,138.46/x
  3. Step 3: Cross multiply
    5,495.96x = 7,584.97 × 3,138.46
  4. Step 4: Simplify right side
    5,495.96x = 23,805,087.02
  5. Step 5: Solve for x
    x = 23,805,087.02/5,495.96
  6. Step 6: Final answer
    x = 4,331.38

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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.