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Finding the Fourth Proportional to 6,502.19, 9,753.24 and 2,606.54

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Solution

The fourth proportional to 6,502.19, 9,753.24 and 2,606.54 is: 3,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.19 : 9,753.24 = 2,606.54 : x
  2. Step 2: Convert to fraction form
    6,502.19/9,753.24 = 2,606.54/x
  3. Step 3: Cross multiply
    6,502.19x = 9,753.24 × 2,606.54
  4. Step 4: Simplify right side
    6,502.19x = 25,422,210.19
  5. Step 5: Solve for x
    x = 25,422,210.19/6,502.19
  6. Step 6: Final answer
    x = 3,909.79

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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.