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Finding the Fourth Proportional to 6,523.36, 9,755.52 and 4,177.60

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Solution

The fourth proportional to 6,523.36, 9,755.52 and 4,177.60 is: 6,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.36 : 9,755.52 = 4,177.60 : x
  2. Step 2: Convert to fraction form
    6,523.36/9,755.52 = 4,177.60/x
  3. Step 3: Cross multiply
    6,523.36x = 9,755.52 × 4,177.60
  4. Step 4: Simplify right side
    6,523.36x = 40,754,660.35
  5. Step 5: Solve for x
    x = 40,754,660.35/6,523.36
  6. Step 6: Final answer
    x = 6,247.50

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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.