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Finding the Fourth Proportional to 6,457.56, 9,687.99 and 2,075.46

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Solution

The fourth proportional to 6,457.56, 9,687.99 and 2,075.46 is: 3,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.56 : 9,687.99 = 2,075.46 : x
  2. Step 2: Convert to fraction form
    6,457.56/9,687.99 = 2,075.46/x
  3. Step 3: Cross multiply
    6,457.56x = 9,687.99 × 2,075.46
  4. Step 4: Simplify right side
    6,457.56x = 20,107,035.73
  5. Step 5: Solve for x
    x = 20,107,035.73/6,457.56
  6. Step 6: Final answer
    x = 3,113.72

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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.