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Finding the Fourth Proportional to 27,645.47, 41,468.49 and 6,868.97

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Solution

The fourth proportional to 27,645.47, 41,468.49 and 6,868.97 is: 10,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.47 : 41,468.49 = 6,868.97 : x
  2. Step 2: Convert to fraction form
    27,645.47/41,468.49 = 6,868.97/x
  3. Step 3: Cross multiply
    27,645.47x = 41,468.49 × 6,868.97
  4. Step 4: Simplify right side
    27,645.47x = 284,845,761.92
  5. Step 5: Solve for x
    x = 284,845,761.92/27,645.47
  6. Step 6: Final answer
    x = 10,303.52

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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.