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Finding the Fourth Proportional to 8,296.03, 11,432.77 and 5,934.07

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Solution

The fourth proportional to 8,296.03, 11,432.77 and 5,934.07 is: 8,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.03 : 11,432.77 = 5,934.07 : x
  2. Step 2: Convert to fraction form
    8,296.03/11,432.77 = 5,934.07/x
  3. Step 3: Cross multiply
    8,296.03x = 11,432.77 × 5,934.07
  4. Step 4: Simplify right side
    8,296.03x = 67,842,857.47
  5. Step 5: Solve for x
    x = 67,842,857.47/8,296.03
  6. Step 6: Final answer
    x = 8,177.75

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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.