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Finding the Fourth Proportional to 8,194.59, 12,290.63 and 2,999.25

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Solution

The fourth proportional to 8,194.59, 12,290.63 and 2,999.25 is: 4,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.59 : 12,290.63 = 2,999.25 : x
  2. Step 2: Convert to fraction form
    8,194.59/12,290.63 = 2,999.25/x
  3. Step 3: Cross multiply
    8,194.59x = 12,290.63 × 2,999.25
  4. Step 4: Simplify right side
    8,194.59x = 36,862,657.03
  5. Step 5: Solve for x
    x = 36,862,657.03/8,194.59
  6. Step 6: Final answer
    x = 4,498.41

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Half scale
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Similar ratio
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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.