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Finding the Fourth Proportional to 6,431.50, 9,656.18 and 3,313.74

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Solution

The fourth proportional to 6,431.50, 9,656.18 and 3,313.74 is: 4,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.50 : 9,656.18 = 3,313.74 : x
  2. Step 2: Convert to fraction form
    6,431.50/9,656.18 = 3,313.74/x
  3. Step 3: Cross multiply
    6,431.50x = 9,656.18 × 3,313.74
  4. Step 4: Simplify right side
    6,431.50x = 31,998,101.98
  5. Step 5: Solve for x
    x = 31,998,101.98/6,431.50
  6. Step 6: Final answer
    x = 4,975.22

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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.