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Finding the Fourth Proportional to 9,806.20, 13,531.20 and 6,266.92

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Solution

The fourth proportional to 9,806.20, 13,531.20 and 6,266.92 is: 8,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.20 : 13,531.20 = 6,266.92 : x
  2. Step 2: Convert to fraction form
    9,806.20/13,531.20 = 6,266.92/x
  3. Step 3: Cross multiply
    9,806.20x = 13,531.20 × 6,266.92
  4. Step 4: Simplify right side
    9,806.20x = 84,798,947.90
  5. Step 5: Solve for x
    x = 84,798,947.90/9,806.20
  6. Step 6: Final answer
    x = 8,647.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.