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Finding the Fourth Proportional to 6,493.80, 9,741.30 and 2,597.40

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Solution

The fourth proportional to 6,493.80, 9,741.30 and 2,597.40 is: 3,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.80 : 9,741.30 = 2,597.40 : x
  2. Step 2: Convert to fraction form
    6,493.80/9,741.30 = 2,597.40/x
  3. Step 3: Cross multiply
    6,493.80x = 9,741.30 × 2,597.40
  4. Step 4: Simplify right side
    6,493.80x = 25,302,052.62
  5. Step 5: Solve for x
    x = 25,302,052.62/6,493.80
  6. Step 6: Final answer
    x = 3,896.34

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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.