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Finding the Fourth Proportional to 3,462.30, 5,193.46 and 997.14

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Solution

The fourth proportional to 3,462.30, 5,193.46 and 997.14 is: 1,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.30 : 5,193.46 = 997.14 : x
  2. Step 2: Convert to fraction form
    3,462.30/5,193.46 = 997.14/x
  3. Step 3: Cross multiply
    3,462.30x = 5,193.46 × 997.14
  4. Step 4: Simplify right side
    3,462.30x = 5,178,606.70
  5. Step 5: Solve for x
    x = 5,178,606.70/3,462.30
  6. Step 6: Final answer
    x = 1,495.71

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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.