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Finding the Fourth Proportional to 23,296.80, 34,944.80 and 5,766.64

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Solution

The fourth proportional to 23,296.80, 34,944.80 and 5,766.64 is: 8,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.80 : 34,944.80 = 5,766.64 : x
  2. Step 2: Convert to fraction form
    23,296.80/34,944.80 = 5,766.64/x
  3. Step 3: Cross multiply
    23,296.80x = 34,944.80 × 5,766.64
  4. Step 4: Simplify right side
    23,296.80x = 201,514,081.47
  5. Step 5: Solve for x
    x = 201,514,081.47/23,296.80
  6. Step 6: Final answer
    x = 8,649.86

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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.