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Finding the Fourth Proportional to 6,960.50, 9,605.52 and 4,166

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Solution

The fourth proportional to 6,960.50, 9,605.52 and 4,166 is: 5,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.50 : 9,605.52 = 4,166 : x
  2. Step 2: Convert to fraction form
    6,960.50/9,605.52 = 4,166/x
  3. Step 3: Cross multiply
    6,960.50x = 9,605.52 × 4,166
  4. Step 4: Simplify right side
    6,960.50x = 40,016,596.32
  5. Step 5: Solve for x
    x = 40,016,596.32/6,960.50
  6. Step 6: Final answer
    x = 5,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.