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Finding the Fourth Proportional to 11,774.52, 17,659.68 and 6,853.80

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Solution

The fourth proportional to 11,774.52, 17,659.68 and 6,853.80 is: 10,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.52 : 17,659.68 = 6,853.80 : x
  2. Step 2: Convert to fraction form
    11,774.52/17,659.68 = 6,853.80/x
  3. Step 3: Cross multiply
    11,774.52x = 17,659.68 × 6,853.80
  4. Step 4: Simplify right side
    11,774.52x = 121,035,914.78
  5. Step 5: Solve for x
    x = 121,035,914.78/11,774.52
  6. Step 6: Final answer
    x = 10,279.48

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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.