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Finding the Fourth Proportional to 6,457.66, 9,685.57 and 2,074.55

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Solution

The fourth proportional to 6,457.66, 9,685.57 and 2,074.55 is: 3,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.66 : 9,685.57 = 2,074.55 : x
  2. Step 2: Convert to fraction form
    6,457.66/9,685.57 = 2,074.55/x
  3. Step 3: Cross multiply
    6,457.66x = 9,685.57 × 2,074.55
  4. Step 4: Simplify right side
    6,457.66x = 20,093,199.24
  5. Step 5: Solve for x
    x = 20,093,199.24/6,457.66
  6. Step 6: Final answer
    x = 3,111.53

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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.