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Finding the Fourth Proportional to 6,827.54, 10,234.92 and 6,218.88

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Solution

The fourth proportional to 6,827.54, 10,234.92 and 6,218.88 is: 9,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.54 : 10,234.92 = 6,218.88 : x
  2. Step 2: Convert to fraction form
    6,827.54/10,234.92 = 6,218.88/x
  3. Step 3: Cross multiply
    6,827.54x = 10,234.92 × 6,218.88
  4. Step 4: Simplify right side
    6,827.54x = 63,649,739.29
  5. Step 5: Solve for x
    x = 63,649,739.29/6,827.54
  6. Step 6: Final answer
    x = 9,322.50

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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.