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Finding the Fourth Proportional to 3,463.61, 5,194.63 and 997.88

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Solution

The fourth proportional to 3,463.61, 5,194.63 and 997.88 is: 1,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.61 : 5,194.63 = 997.88 : x
  2. Step 2: Convert to fraction form
    3,463.61/5,194.63 = 997.88/x
  3. Step 3: Cross multiply
    3,463.61x = 5,194.63 × 997.88
  4. Step 4: Simplify right side
    3,463.61x = 5,183,617.38
  5. Step 5: Solve for x
    x = 5,183,617.38/3,463.61
  6. Step 6: Final answer
    x = 1,496.59

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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.