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Finding the Fourth Proportional to 27,674.83, 41,507.79 and 7,948.90

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Solution

The fourth proportional to 27,674.83, 41,507.79 and 7,948.90 is: 11,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.83 : 41,507.79 = 7,948.90 : x
  2. Step 2: Convert to fraction form
    27,674.83/41,507.79 = 7,948.90/x
  3. Step 3: Cross multiply
    27,674.83x = 41,507.79 × 7,948.90
  4. Step 4: Simplify right side
    27,674.83x = 329,941,338.72
  5. Step 5: Solve for x
    x = 329,941,338.72/27,674.83
  6. Step 6: Final answer
    x = 11,922.07

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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.