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Finding the Fourth Proportional to 6,110.64, 9,162 and 5,186.40

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Solution

The fourth proportional to 6,110.64, 9,162 and 5,186.40 is: 7,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.64 : 9,162 = 5,186.40 : x
  2. Step 2: Convert to fraction form
    6,110.64/9,162 = 5,186.40/x
  3. Step 3: Cross multiply
    6,110.64x = 9,162 × 5,186.40
  4. Step 4: Simplify right side
    6,110.64x = 47,517,796.80
  5. Step 5: Solve for x
    x = 47,517,796.80/6,110.64
  6. Step 6: Final answer
    x = 7,776.24

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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.