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Finding the Fourth Proportional to 6,322, 9,485.16 and 6,162.16

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Solution

The fourth proportional to 6,322, 9,485.16 and 6,162.16 is: 9,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322 : 9,485.16 = 6,162.16 : x
  2. Step 2: Convert to fraction form
    6,322/9,485.16 = 6,162.16/x
  3. Step 3: Cross multiply
    6,322x = 9,485.16 × 6,162.16
  4. Step 4: Simplify right side
    6,322x = 58,449,073.55
  5. Step 5: Solve for x
    x = 58,449,073.55/6,322
  6. Step 6: Final answer
    x = 9,245.35

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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.