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Finding the Fourth Proportional to 6,575.45, 9,842.03 and 3,451.08

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Solution

The fourth proportional to 6,575.45, 9,842.03 and 3,451.08 is: 5,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.45 : 9,842.03 = 3,451.08 : x
  2. Step 2: Convert to fraction form
    6,575.45/9,842.03 = 3,451.08/x
  3. Step 3: Cross multiply
    6,575.45x = 9,842.03 × 3,451.08
  4. Step 4: Simplify right side
    6,575.45x = 33,965,615.64
  5. Step 5: Solve for x
    x = 33,965,615.64/6,575.45
  6. Step 6: Final answer
    x = 5,165.52

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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.