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Finding the Fourth Proportional to 27,633, 41,448.38 and 7,910.76

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Solution

The fourth proportional to 27,633, 41,448.38 and 7,910.76 is: 11,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633 : 41,448.38 = 7,910.76 : x
  2. Step 2: Convert to fraction form
    27,633/41,448.38 = 7,910.76/x
  3. Step 3: Cross multiply
    27,633x = 41,448.38 × 7,910.76
  4. Step 4: Simplify right side
    27,633x = 327,888,186.57
  5. Step 5: Solve for x
    x = 327,888,186.57/27,633
  6. Step 6: Final answer
    x = 11,865.82

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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.