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Finding the Fourth Proportional to 10,844.02, 14,958.97 and 6,596.38

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Solution

The fourth proportional to 10,844.02, 14,958.97 and 6,596.38 is: 9,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.02 : 14,958.97 = 6,596.38 : x
  2. Step 2: Convert to fraction form
    10,844.02/14,958.97 = 6,596.38/x
  3. Step 3: Cross multiply
    10,844.02x = 14,958.97 × 6,596.38
  4. Step 4: Simplify right side
    10,844.02x = 98,674,942.75
  5. Step 5: Solve for x
    x = 98,674,942.75/10,844.02
  6. Step 6: Final answer
    x = 9,099.48

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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.