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Finding the Fourth Proportional to 11,704, 16,151.76 and 6,990.96

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Solution

The fourth proportional to 11,704, 16,151.76 and 6,990.96 is: 9,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704 : 16,151.76 = 6,990.96 : x
  2. Step 2: Convert to fraction form
    11,704/16,151.76 = 6,990.96/x
  3. Step 3: Cross multiply
    11,704x = 16,151.76 × 6,990.96
  4. Step 4: Simplify right side
    11,704x = 112,916,308.09
  5. Step 5: Solve for x
    x = 112,916,308.09/11,704
  6. Step 6: Final answer
    x = 9,647.67

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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.