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Finding the Fourth Proportional to 11,663.92, 17,482.21 and 5,743.53

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Solution

The fourth proportional to 11,663.92, 17,482.21 and 5,743.53 is: 8,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.92 : 17,482.21 = 5,743.53 : x
  2. Step 2: Convert to fraction form
    11,663.92/17,482.21 = 5,743.53/x
  3. Step 3: Cross multiply
    11,663.92x = 17,482.21 × 5,743.53
  4. Step 4: Simplify right side
    11,663.92x = 100,409,597.60
  5. Step 5: Solve for x
    x = 100,409,597.60/11,663.92
  6. Step 6: Final answer
    x = 8,608.56

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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.