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Finding the Fourth Proportional to 3,462.99, 5,193.27 and 997.15

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Solution

The fourth proportional to 3,462.99, 5,193.27 and 997.15 is: 1,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.99 : 5,193.27 = 997.15 : x
  2. Step 2: Convert to fraction form
    3,462.99/5,193.27 = 997.15/x
  3. Step 3: Cross multiply
    3,462.99x = 5,193.27 × 997.15
  4. Step 4: Simplify right side
    3,462.99x = 5,178,469.18
  5. Step 5: Solve for x
    x = 5,178,469.18/3,462.99
  6. Step 6: Final answer
    x = 1,495.38

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Double scale
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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.