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Finding the Fourth Proportional to 3,462.14, 5,193.23 and 996.98

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Solution

The fourth proportional to 3,462.14, 5,193.23 and 996.98 is: 1,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.14 : 5,193.23 = 996.98 : x
  2. Step 2: Convert to fraction form
    3,462.14/5,193.23 = 996.98/x
  3. Step 3: Cross multiply
    3,462.14x = 5,193.23 × 996.98
  4. Step 4: Simplify right side
    3,462.14x = 5,177,515.49
  5. Step 5: Solve for x
    x = 5,177,515.49/3,462.14
  6. Step 6: Final answer
    x = 1,495.47

Related Problems

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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.