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Finding the Fourth Proportional to 8,194.78, 11,309.77 and 4,658.52

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Solution

The fourth proportional to 8,194.78, 11,309.77 and 4,658.52 is: 6,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.78 : 11,309.77 = 4,658.52 : x
  2. Step 2: Convert to fraction form
    8,194.78/11,309.77 = 4,658.52/x
  3. Step 3: Cross multiply
    8,194.78x = 11,309.77 × 4,658.52
  4. Step 4: Simplify right side
    8,194.78x = 52,686,789.74
  5. Step 5: Solve for x
    x = 52,686,789.74/8,194.78
  6. Step 6: Final answer
    x = 6,429.31

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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.