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Finding the Fourth Proportional to 6,505.74, 9,754.65 and 2,552.26

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Solution

The fourth proportional to 6,505.74, 9,754.65 and 2,552.26 is: 3,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.74 : 9,754.65 = 2,552.26 : x
  2. Step 2: Convert to fraction form
    6,505.74/9,754.65 = 2,552.26/x
  3. Step 3: Cross multiply
    6,505.74x = 9,754.65 × 2,552.26
  4. Step 4: Simplify right side
    6,505.74x = 24,896,403.01
  5. Step 5: Solve for x
    x = 24,896,403.01/6,505.74
  6. Step 6: Final answer
    x = 3,826.84

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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.