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Finding the Fourth Proportional to 8,245.83, 12,368.77 and 2,005.80

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Solution

The fourth proportional to 8,245.83, 12,368.77 and 2,005.80 is: 3,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.83 : 12,368.77 = 2,005.80 : x
  2. Step 2: Convert to fraction form
    8,245.83/12,368.77 = 2,005.80/x
  3. Step 3: Cross multiply
    8,245.83x = 12,368.77 × 2,005.80
  4. Step 4: Simplify right side
    8,245.83x = 24,809,227.47
  5. Step 5: Solve for x
    x = 24,809,227.47/8,245.83
  6. Step 6: Final answer
    x = 3,008.70

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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.