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Finding the Fourth Proportional to 10,695.00, 16,034.30 and 6,536.97

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Solution

The fourth proportional to 10,695.00, 16,034.30 and 6,536.97 is: 9,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.00 : 16,034.30 = 6,536.97 : x
  2. Step 2: Convert to fraction form
    10,695.00/16,034.30 = 6,536.97/x
  3. Step 3: Cross multiply
    10,695.00x = 16,034.30 × 6,536.97
  4. Step 4: Simplify right side
    10,695.00x = 104,815,766.67
  5. Step 5: Solve for x
    x = 104,815,766.67/10,695.00
  6. Step 6: Final answer
    x = 9,800.44

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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.