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Finding the Fourth Proportional to 6,575.67, 9,867.29 and 3,458.52

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Solution

The fourth proportional to 6,575.67, 9,867.29 and 3,458.52 is: 5,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.67 : 9,867.29 = 3,458.52 : x
  2. Step 2: Convert to fraction form
    6,575.67/9,867.29 = 3,458.52/x
  3. Step 3: Cross multiply
    6,575.67x = 9,867.29 × 3,458.52
  4. Step 4: Simplify right side
    6,575.67x = 34,126,202.52
  5. Step 5: Solve for x
    x = 34,126,202.52/6,575.67
  6. Step 6: Final answer
    x = 5,189.77

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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.