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Finding the Fourth Proportional to 7,663.17, 11,494.80 and 2,733.60

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Solution

The fourth proportional to 7,663.17, 11,494.80 and 2,733.60 is: 4,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.17 : 11,494.80 = 2,733.60 : x
  2. Step 2: Convert to fraction form
    7,663.17/11,494.80 = 2,733.60/x
  3. Step 3: Cross multiply
    7,663.17x = 11,494.80 × 2,733.60
  4. Step 4: Simplify right side
    7,663.17x = 31,422,185.28
  5. Step 5: Solve for x
    x = 31,422,185.28/7,663.17
  6. Step 6: Final answer
    x = 4,100.42

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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.