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Finding the Fourth Proportional to 11,000.91, 16,511.85 and 6,828.30

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Solution

The fourth proportional to 11,000.91, 16,511.85 and 6,828.30 is: 10,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.91 : 16,511.85 = 6,828.30 : x
  2. Step 2: Convert to fraction form
    11,000.91/16,511.85 = 6,828.30/x
  3. Step 3: Cross multiply
    11,000.91x = 16,511.85 × 6,828.30
  4. Step 4: Simplify right side
    11,000.91x = 112,747,865.36
  5. Step 5: Solve for x
    x = 112,747,865.36/11,000.91
  6. Step 6: Final answer
    x = 10,248.95

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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.