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Finding the Fourth Proportional to 6,563.57, 9,842.76 and 2,863.17

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Solution

The fourth proportional to 6,563.57, 9,842.76 and 2,863.17 is: 4,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.57 : 9,842.76 = 2,863.17 : x
  2. Step 2: Convert to fraction form
    6,563.57/9,842.76 = 2,863.17/x
  3. Step 3: Cross multiply
    6,563.57x = 9,842.76 × 2,863.17
  4. Step 4: Simplify right side
    6,563.57x = 28,181,495.15
  5. Step 5: Solve for x
    x = 28,181,495.15/6,563.57
  6. Step 6: Final answer
    x = 4,293.63

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1.5x scale

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.