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Finding the Fourth Proportional to 6,932.26, 9,575.52 and 5,610.94

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Solution

The fourth proportional to 6,932.26, 9,575.52 and 5,610.94 is: 7,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.26 : 9,575.52 = 5,610.94 : x
  2. Step 2: Convert to fraction form
    6,932.26/9,575.52 = 5,610.94/x
  3. Step 3: Cross multiply
    6,932.26x = 9,575.52 × 5,610.94
  4. Step 4: Simplify right side
    6,932.26x = 53,727,668.19
  5. Step 5: Solve for x
    x = 53,727,668.19/6,932.26
  6. Step 6: Final answer
    x = 7,750.38

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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.