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Finding the Fourth Proportional to 6,505.74, 9,774.36 and 4,170.24

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Solution

The fourth proportional to 6,505.74, 9,774.36 and 4,170.24 is: 6,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.74 : 9,774.36 = 4,170.24 : x
  2. Step 2: Convert to fraction form
    6,505.74/9,774.36 = 4,170.24/x
  3. Step 3: Cross multiply
    6,505.74x = 9,774.36 × 4,170.24
  4. Step 4: Simplify right side
    6,505.74x = 40,761,427.05
  5. Step 5: Solve for x
    x = 40,761,427.05/6,505.74
  6. Step 6: Final answer
    x = 6,265.46

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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.