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Finding the Fourth Proportional to 6,753.26, 9,322.34 and 4,101.53

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Solution

The fourth proportional to 6,753.26, 9,322.34 and 4,101.53 is: 5,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.26 : 9,322.34 = 4,101.53 : x
  2. Step 2: Convert to fraction form
    6,753.26/9,322.34 = 4,101.53/x
  3. Step 3: Cross multiply
    6,753.26x = 9,322.34 × 4,101.53
  4. Step 4: Simplify right side
    6,753.26x = 38,235,790.06
  5. Step 5: Solve for x
    x = 38,235,790.06/6,753.26
  6. Step 6: Final answer
    x = 5,661.83

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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.