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Finding the Fourth Proportional to 10,278.37, 14,186.37 and 6,697.81

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Solution

The fourth proportional to 10,278.37, 14,186.37 and 6,697.81 is: 9,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.37 : 14,186.37 = 6,697.81 : x
  2. Step 2: Convert to fraction form
    10,278.37/14,186.37 = 6,697.81/x
  3. Step 3: Cross multiply
    10,278.37x = 14,186.37 × 6,697.81
  4. Step 4: Simplify right side
    10,278.37x = 95,017,610.85
  5. Step 5: Solve for x
    x = 95,017,610.85/10,278.37
  6. Step 6: Final answer
    x = 9,244.42

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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.