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Finding the Fourth Proportional to 6,457.50, 9,690.30 and 2,562.12

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Solution

The fourth proportional to 6,457.50, 9,690.30 and 2,562.12 is: 3,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.50 : 9,690.30 = 2,562.12 : x
  2. Step 2: Convert to fraction form
    6,457.50/9,690.30 = 2,562.12/x
  3. Step 3: Cross multiply
    6,457.50x = 9,690.30 × 2,562.12
  4. Step 4: Simplify right side
    6,457.50x = 24,827,711.44
  5. Step 5: Solve for x
    x = 24,827,711.44/6,457.50
  6. Step 6: Final answer
    x = 3,844.79

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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.