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Finding the Fourth Proportional to 6,648.24, 9,177.86 and 4,534.75

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Solution

The fourth proportional to 6,648.24, 9,177.86 and 4,534.75 is: 6,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.24 : 9,177.86 = 4,534.75 : x
  2. Step 2: Convert to fraction form
    6,648.24/9,177.86 = 4,534.75/x
  3. Step 3: Cross multiply
    6,648.24x = 9,177.86 × 4,534.75
  4. Step 4: Simplify right side
    6,648.24x = 41,619,297.94
  5. Step 5: Solve for x
    x = 41,619,297.94/6,648.24
  6. Step 6: Final answer
    x = 6,260.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.