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Finding the Fourth Proportional to 8,201.32, 12,301.96 and 2,045.32

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Solution

The fourth proportional to 8,201.32, 12,301.96 and 2,045.32 is: 3,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.32 : 12,301.96 = 2,045.32 : x
  2. Step 2: Convert to fraction form
    8,201.32/12,301.96 = 2,045.32/x
  3. Step 3: Cross multiply
    8,201.32x = 12,301.96 × 2,045.32
  4. Step 4: Simplify right side
    8,201.32x = 25,161,444.83
  5. Step 5: Solve for x
    x = 25,161,444.83/8,201.32
  6. Step 6: Final answer
    x = 3,067.98

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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.