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Finding the Fourth Proportional to 6,118.60, 9,177.06 and 1,736.50

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Solution

The fourth proportional to 6,118.60, 9,177.06 and 1,736.50 is: 2,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.60 : 9,177.06 = 1,736.50 : x
  2. Step 2: Convert to fraction form
    6,118.60/9,177.06 = 1,736.50/x
  3. Step 3: Cross multiply
    6,118.60x = 9,177.06 × 1,736.50
  4. Step 4: Simplify right side
    6,118.60x = 15,935,964.69
  5. Step 5: Solve for x
    x = 15,935,964.69/6,118.60
  6. Step 6: Final answer
    x = 2,604.51

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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.