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Finding the Fourth Proportional to 8,201.50, 11,305.96 and 5,804.02

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Solution

The fourth proportional to 8,201.50, 11,305.96 and 5,804.02 is: 8,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.50 : 11,305.96 = 5,804.02 : x
  2. Step 2: Convert to fraction form
    8,201.50/11,305.96 = 5,804.02/x
  3. Step 3: Cross multiply
    8,201.50x = 11,305.96 × 5,804.02
  4. Step 4: Simplify right side
    8,201.50x = 65,620,017.96
  5. Step 5: Solve for x
    x = 65,620,017.96/8,201.50
  6. Step 6: Final answer
    x = 8,000.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.