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Finding the Fourth Proportional to 9,806.82, 14,701.92 and 4,255.98

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Solution

The fourth proportional to 9,806.82, 14,701.92 and 4,255.98 is: 6,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.82 : 14,701.92 = 4,255.98 : x
  2. Step 2: Convert to fraction form
    9,806.82/14,701.92 = 4,255.98/x
  3. Step 3: Cross multiply
    9,806.82x = 14,701.92 × 4,255.98
  4. Step 4: Simplify right side
    9,806.82x = 62,571,077.48
  5. Step 5: Solve for x
    x = 62,571,077.48/9,806.82
  6. Step 6: Final answer
    x = 6,380.36

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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.