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Finding the Fourth Proportional to 3,461.64, 5,192.71 and 996.50

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Solution

The fourth proportional to 3,461.64, 5,192.71 and 996.50 is: 1,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.64 : 5,192.71 = 996.50 : x
  2. Step 2: Convert to fraction form
    3,461.64/5,192.71 = 996.50/x
  3. Step 3: Cross multiply
    3,461.64x = 5,192.71 × 996.50
  4. Step 4: Simplify right side
    3,461.64x = 5,174,546.01
  5. Step 5: Solve for x
    x = 5,174,546.01/3,461.64
  6. Step 6: Final answer
    x = 1,494.83

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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.