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Finding the Fourth Proportional to 6,182.49, 9,273.64 and 1,502.53

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Solution

The fourth proportional to 6,182.49, 9,273.64 and 1,502.53 is: 2,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.49 : 9,273.64 = 1,502.53 : x
  2. Step 2: Convert to fraction form
    6,182.49/9,273.64 = 1,502.53/x
  3. Step 3: Cross multiply
    6,182.49x = 9,273.64 × 1,502.53
  4. Step 4: Simplify right side
    6,182.49x = 13,933,922.31
  5. Step 5: Solve for x
    x = 13,933,922.31/6,182.49
  6. Step 6: Final answer
    x = 2,253.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.