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Finding the Fourth Proportional to 19,974.63, 29,961.95 and 6,827.11

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Solution

The fourth proportional to 19,974.63, 29,961.95 and 6,827.11 is: 10,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.63 : 29,961.95 = 6,827.11 : x
  2. Step 2: Convert to fraction form
    19,974.63/29,961.95 = 6,827.11/x
  3. Step 3: Cross multiply
    19,974.63x = 29,961.95 × 6,827.11
  4. Step 4: Simplify right side
    19,974.63x = 204,553,528.46
  5. Step 5: Solve for x
    x = 204,553,528.46/19,974.63
  6. Step 6: Final answer
    x = 10,240.67

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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.