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Finding the Fourth Proportional to 33,009, 49,491.63 and 11,946.30

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Solution

The fourth proportional to 33,009, 49,491.63 and 11,946.30 is: 17,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009 : 49,491.63 = 11,946.30 : x
  2. Step 2: Convert to fraction form
    33,009/49,491.63 = 11,946.30/x
  3. Step 3: Cross multiply
    33,009x = 49,491.63 × 11,946.30
  4. Step 4: Simplify right side
    33,009x = 591,241,859.47
  5. Step 5: Solve for x
    x = 591,241,859.47/33,009
  6. Step 6: Final answer
    x = 17,911.54

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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.