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Finding the Fourth Proportional to 6,710.56, 10,067.76 and 3,249.76

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Solution

The fourth proportional to 6,710.56, 10,067.76 and 3,249.76 is: 4,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.56 : 10,067.76 = 3,249.76 : x
  2. Step 2: Convert to fraction form
    6,710.56/10,067.76 = 3,249.76/x
  3. Step 3: Cross multiply
    6,710.56x = 10,067.76 × 3,249.76
  4. Step 4: Simplify right side
    6,710.56x = 32,717,803.74
  5. Step 5: Solve for x
    x = 32,717,803.74/6,710.56
  6. Step 6: Final answer
    x = 4,875.57

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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.