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Finding the Fourth Proportional to 6,563.88, 9,842.94 and 2,457

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Solution

The fourth proportional to 6,563.88, 9,842.94 and 2,457 is: 3,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.88 : 9,842.94 = 2,457 : x
  2. Step 2: Convert to fraction form
    6,563.88/9,842.94 = 2,457/x
  3. Step 3: Cross multiply
    6,563.88x = 9,842.94 × 2,457
  4. Step 4: Simplify right side
    6,563.88x = 24,184,103.58
  5. Step 5: Solve for x
    x = 24,184,103.58/6,563.88
  6. Step 6: Final answer
    x = 3,684.42

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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.