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Finding the Fourth Proportional to 14,262.14, 19,682.79 and 7,974.11

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Solution

The fourth proportional to 14,262.14, 19,682.79 and 7,974.11 is: 11,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.14 : 19,682.79 = 7,974.11 : x
  2. Step 2: Convert to fraction form
    14,262.14/19,682.79 = 7,974.11/x
  3. Step 3: Cross multiply
    14,262.14x = 19,682.79 × 7,974.11
  4. Step 4: Simplify right side
    14,262.14x = 156,952,732.57
  5. Step 5: Solve for x
    x = 156,952,732.57/14,262.14
  6. Step 6: Final answer
    x = 11,004.85

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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.