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Finding the Fourth Proportional to 8,491.09, 12,718.20 and 5,194.18

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Solution

The fourth proportional to 8,491.09, 12,718.20 and 5,194.18 is: 7,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.09 : 12,718.20 = 5,194.18 : x
  2. Step 2: Convert to fraction form
    8,491.09/12,718.20 = 5,194.18/x
  3. Step 3: Cross multiply
    8,491.09x = 12,718.20 × 5,194.18
  4. Step 4: Simplify right side
    8,491.09x = 66,060,620.08
  5. Step 5: Solve for x
    x = 66,060,620.08/8,491.09
  6. Step 6: Final answer
    x = 7,779.99

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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.