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Finding the Fourth Proportional to 6,457.96, 9,684.48 and 2,074.24

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Solution

The fourth proportional to 6,457.96, 9,684.48 and 2,074.24 is: 3,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.96 : 9,684.48 = 2,074.24 : x
  2. Step 2: Convert to fraction form
    6,457.96/9,684.48 = 2,074.24/x
  3. Step 3: Cross multiply
    6,457.96x = 9,684.48 × 2,074.24
  4. Step 4: Simplify right side
    6,457.96x = 20,087,935.80
  5. Step 5: Solve for x
    x = 20,087,935.80/6,457.96
  6. Step 6: Final answer
    x = 3,110.57

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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.