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Finding the Fourth Proportional to 6,709.63, 10,064.49 and 3,934.36

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Solution

The fourth proportional to 6,709.63, 10,064.49 and 3,934.36 is: 5,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.63 : 10,064.49 = 3,934.36 : x
  2. Step 2: Convert to fraction form
    6,709.63/10,064.49 = 3,934.36/x
  3. Step 3: Cross multiply
    6,709.63x = 10,064.49 × 3,934.36
  4. Step 4: Simplify right side
    6,709.63x = 39,597,326.88
  5. Step 5: Solve for x
    x = 39,597,326.88/6,709.63
  6. Step 6: Final answer
    x = 5,901.57

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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.