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Finding the Fourth Proportional to 6,503.40, 9,754.92 and 2,606.76

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Solution

The fourth proportional to 6,503.40, 9,754.92 and 2,606.76 is: 3,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.40 : 9,754.92 = 2,606.76 : x
  2. Step 2: Convert to fraction form
    6,503.40/9,754.92 = 2,606.76/x
  3. Step 3: Cross multiply
    6,503.40x = 9,754.92 × 2,606.76
  4. Step 4: Simplify right side
    6,503.40x = 25,428,735.26
  5. Step 5: Solve for x
    x = 25,428,735.26/6,503.40
  6. Step 6: Final answer
    x = 3,910.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.