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Finding the Fourth Proportional to 5,072.25, 7,608.39 and 1,994.25

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Solution

The fourth proportional to 5,072.25, 7,608.39 and 1,994.25 is: 2,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.25 : 7,608.39 = 1,994.25 : x
  2. Step 2: Convert to fraction form
    5,072.25/7,608.39 = 1,994.25/x
  3. Step 3: Cross multiply
    5,072.25x = 7,608.39 × 1,994.25
  4. Step 4: Simplify right side
    5,072.25x = 15,173,031.76
  5. Step 5: Solve for x
    x = 15,173,031.76/5,072.25
  6. Step 6: Final answer
    x = 2,991.38

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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.