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Finding the Fourth Proportional to 6,847.56, 10,264.92 and 6,238.88

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Solution

The fourth proportional to 6,847.56, 10,264.92 and 6,238.88 is: 9,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.56 : 10,264.92 = 6,238.88 : x
  2. Step 2: Convert to fraction form
    6,847.56/10,264.92 = 6,238.88/x
  3. Step 3: Cross multiply
    6,847.56x = 10,264.92 × 6,238.88
  4. Step 4: Simplify right side
    6,847.56x = 64,041,604.09
  5. Step 5: Solve for x
    x = 64,041,604.09/6,847.56
  6. Step 6: Final answer
    x = 9,352.47

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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.