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Finding the Fourth Proportional to 5,965.98, 8,949.06 and 1,806.18

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Solution

The fourth proportional to 5,965.98, 8,949.06 and 1,806.18 is: 2,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.98 : 8,949.06 = 1,806.18 : x
  2. Step 2: Convert to fraction form
    5,965.98/8,949.06 = 1,806.18/x
  3. Step 3: Cross multiply
    5,965.98x = 8,949.06 × 1,806.18
  4. Step 4: Simplify right side
    5,965.98x = 16,163,613.19
  5. Step 5: Solve for x
    x = 16,163,613.19/5,965.98
  6. Step 6: Final answer
    x = 2,709.30

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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.