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Finding the Fourth Proportional to 27,642.66, 41,471.14 and 7,922.66

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Solution

The fourth proportional to 27,642.66, 41,471.14 and 7,922.66 is: 11,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.66 : 41,471.14 = 7,922.66 : x
  2. Step 2: Convert to fraction form
    27,642.66/41,471.14 = 7,922.66/x
  3. Step 3: Cross multiply
    27,642.66x = 41,471.14 × 7,922.66
  4. Step 4: Simplify right side
    27,642.66x = 328,561,742.03
  5. Step 5: Solve for x
    x = 328,561,742.03/27,642.66
  6. Step 6: Final answer
    x = 11,886.04

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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.