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Finding the Fourth Proportional to 10,974.36, 16,446.36 and 9,509.88

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Solution

The fourth proportional to 10,974.36, 16,446.36 and 9,509.88 is: 14,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.36 : 16,446.36 = 9,509.88 : x
  2. Step 2: Convert to fraction form
    10,974.36/16,446.36 = 9,509.88/x
  3. Step 3: Cross multiply
    10,974.36x = 16,446.36 × 9,509.88
  4. Step 4: Simplify right side
    10,974.36x = 156,402,910.04
  5. Step 5: Solve for x
    x = 156,402,910.04/10,974.36
  6. Step 6: Final answer
    x = 14,251.67

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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.