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Finding the Fourth Proportional to 30,944.82, 46,416.81 and 7,571.46

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Solution

The fourth proportional to 30,944.82, 46,416.81 and 7,571.46 is: 11,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.82 : 46,416.81 = 7,571.46 : x
  2. Step 2: Convert to fraction form
    30,944.82/46,416.81 = 7,571.46/x
  3. Step 3: Cross multiply
    30,944.82x = 46,416.81 × 7,571.46
  4. Step 4: Simplify right side
    30,944.82x = 351,443,020.24
  5. Step 5: Solve for x
    x = 351,443,020.24/30,944.82
  6. Step 6: Final answer
    x = 11,357.09

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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.