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Finding the Fourth Proportional to 6,655.50, 9,185.81 and 3,861

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Solution

The fourth proportional to 6,655.50, 9,185.81 and 3,861 is: 5,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.50 : 9,185.81 = 3,861 : x
  2. Step 2: Convert to fraction form
    6,655.50/9,185.81 = 3,861/x
  3. Step 3: Cross multiply
    6,655.50x = 9,185.81 × 3,861
  4. Step 4: Simplify right side
    6,655.50x = 35,466,393.11
  5. Step 5: Solve for x
    x = 35,466,393.11/6,655.50
  6. Step 6: Final answer
    x = 5,328.88

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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.