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Finding the Fourth Proportional to 27,846, 38,427.06 and 15,098.82

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Solution

The fourth proportional to 27,846, 38,427.06 and 15,098.82 is: 20,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846 : 38,427.06 = 15,098.82 : x
  2. Step 2: Convert to fraction form
    27,846/38,427.06 = 15,098.82/x
  3. Step 3: Cross multiply
    27,846x = 38,427.06 × 15,098.82
  4. Step 4: Simplify right side
    27,846x = 580,203,262.07
  5. Step 5: Solve for x
    x = 580,203,262.07/27,846
  6. Step 6: Final answer
    x = 20,836.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.