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Finding the Fourth Proportional to 20,883.83, 31,324.90 and 6,844.91

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Solution

The fourth proportional to 20,883.83, 31,324.90 and 6,844.91 is: 10,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.83 : 31,324.90 = 6,844.91 : x
  2. Step 2: Convert to fraction form
    20,883.83/31,324.90 = 6,844.91/x
  3. Step 3: Cross multiply
    20,883.83x = 31,324.90 × 6,844.91
  4. Step 4: Simplify right side
    20,883.83x = 214,415,947.52
  5. Step 5: Solve for x
    x = 214,415,947.52/20,883.83
  6. Step 6: Final answer
    x = 10,267.08

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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.