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Finding the Fourth Proportional to 3,462.64, 5,194.21 and 997.50

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Solution

The fourth proportional to 3,462.64, 5,194.21 and 997.50 is: 1,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.64 : 5,194.21 = 997.50 : x
  2. Step 2: Convert to fraction form
    3,462.64/5,194.21 = 997.50/x
  3. Step 3: Cross multiply
    3,462.64x = 5,194.21 × 997.50
  4. Step 4: Simplify right side
    3,462.64x = 5,181,224.48
  5. Step 5: Solve for x
    x = 5,181,224.48/3,462.64
  6. Step 6: Final answer
    x = 1,496.32

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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.