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Finding the Fourth Proportional to 10,731, 14,805.52 and 6,756.08

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Solution

The fourth proportional to 10,731, 14,805.52 and 6,756.08 is: 9,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731 : 14,805.52 = 6,756.08 : x
  2. Step 2: Convert to fraction form
    10,731/14,805.52 = 6,756.08/x
  3. Step 3: Cross multiply
    10,731x = 14,805.52 × 6,756.08
  4. Step 4: Simplify right side
    10,731x = 100,027,277.56
  5. Step 5: Solve for x
    x = 100,027,277.56/10,731
  6. Step 6: Final answer
    x = 9,321.34

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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.