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Finding the Fourth Proportional to 6,815.34, 10,163.36 and 6,753.06

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Solution

The fourth proportional to 6,815.34, 10,163.36 and 6,753.06 is: 10,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.34 : 10,163.36 = 6,753.06 : x
  2. Step 2: Convert to fraction form
    6,815.34/10,163.36 = 6,753.06/x
  3. Step 3: Cross multiply
    6,815.34x = 10,163.36 × 6,753.06
  4. Step 4: Simplify right side
    6,815.34x = 68,633,779.88
  5. Step 5: Solve for x
    x = 68,633,779.88/6,815.34
  6. Step 6: Final answer
    x = 10,070.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.