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Finding the Fourth Proportional to 10,704.92, 14,767.83 and 6,929.30

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Solution

The fourth proportional to 10,704.92, 14,767.83 and 6,929.30 is: 9,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.92 : 14,767.83 = 6,929.30 : x
  2. Step 2: Convert to fraction form
    10,704.92/14,767.83 = 6,929.30/x
  3. Step 3: Cross multiply
    10,704.92x = 14,767.83 × 6,929.30
  4. Step 4: Simplify right side
    10,704.92x = 102,330,650.58
  5. Step 5: Solve for x
    x = 102,330,650.58/10,704.92
  6. Step 6: Final answer
    x = 9,559.22

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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.