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Finding the Fourth Proportional to 27,853.70, 41,744.10 and 11,200.10

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Solution

The fourth proportional to 27,853.70, 41,744.10 and 11,200.10 is: 16,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.70 : 41,744.10 = 11,200.10 : x
  2. Step 2: Convert to fraction form
    27,853.70/41,744.10 = 11,200.10/x
  3. Step 3: Cross multiply
    27,853.70x = 41,744.10 × 11,200.10
  4. Step 4: Simplify right side
    27,853.70x = 467,538,094.41
  5. Step 5: Solve for x
    x = 467,538,094.41/27,853.70
  6. Step 6: Final answer
    x = 16,785.49

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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.