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Finding the Fourth Proportional to 11,604.92, 16,013.10 and 6,635.96

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Solution

The fourth proportional to 11,604.92, 16,013.10 and 6,635.96 is: 9,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.92 : 16,013.10 = 6,635.96 : x
  2. Step 2: Convert to fraction form
    11,604.92/16,013.10 = 6,635.96/x
  3. Step 3: Cross multiply
    11,604.92x = 16,013.10 × 6,635.96
  4. Step 4: Simplify right side
    11,604.92x = 106,262,291.08
  5. Step 5: Solve for x
    x = 106,262,291.08/11,604.92
  6. Step 6: Final answer
    x = 9,156.66

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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.