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Finding the Fourth Proportional to 8,193.77, 12,296.12 and 2,999.64

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Solution

The fourth proportional to 8,193.77, 12,296.12 and 2,999.64 is: 4,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.77 : 12,296.12 = 2,999.64 : x
  2. Step 2: Convert to fraction form
    8,193.77/12,296.12 = 2,999.64/x
  3. Step 3: Cross multiply
    8,193.77x = 12,296.12 × 2,999.64
  4. Step 4: Simplify right side
    8,193.77x = 36,883,918.40
  5. Step 5: Solve for x
    x = 36,883,918.40/8,193.77
  6. Step 6: Final answer
    x = 4,501.46

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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.