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Finding the Fourth Proportional to 3,474.36, 5,212.06 and 1,009.22

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Solution

The fourth proportional to 3,474.36, 5,212.06 and 1,009.22 is: 1,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.36 : 5,212.06 = 1,009.22 : x
  2. Step 2: Convert to fraction form
    3,474.36/5,212.06 = 1,009.22/x
  3. Step 3: Cross multiply
    3,474.36x = 5,212.06 × 1,009.22
  4. Step 4: Simplify right side
    3,474.36x = 5,260,086.61
  5. Step 5: Solve for x
    x = 5,260,086.61/3,474.36
  6. Step 6: Final answer
    x = 1,513.97

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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.