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Finding the Fourth Proportional to 6,530.74, 9,010.24 and 3,697.83

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Solution

The fourth proportional to 6,530.74, 9,010.24 and 3,697.83 is: 5,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.74 : 9,010.24 = 3,697.83 : x
  2. Step 2: Convert to fraction form
    6,530.74/9,010.24 = 3,697.83/x
  3. Step 3: Cross multiply
    6,530.74x = 9,010.24 × 3,697.83
  4. Step 4: Simplify right side
    6,530.74x = 33,318,335.78
  5. Step 5: Solve for x
    x = 33,318,335.78/6,530.74
  6. Step 6: Final answer
    x = 5,101.77

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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.