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Finding the Fourth Proportional to 6,457.74, 9,687.65 and 2,760

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Solution

The fourth proportional to 6,457.74, 9,687.65 and 2,760 is: 4,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.74 : 9,687.65 = 2,760 : x
  2. Step 2: Convert to fraction form
    6,457.74/9,687.65 = 2,760/x
  3. Step 3: Cross multiply
    6,457.74x = 9,687.65 × 2,760
  4. Step 4: Simplify right side
    6,457.74x = 26,737,900.20
  5. Step 5: Solve for x
    x = 26,737,900.20/6,457.74
  6. Step 6: Final answer
    x = 4,140.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.