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Finding the Fourth Proportional to 11,663.60, 16,063.80 and 11,447.60

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Solution

The fourth proportional to 11,663.60, 16,063.80 and 11,447.60 is: 15,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.60 : 16,063.80 = 11,447.60 : x
  2. Step 2: Convert to fraction form
    11,663.60/16,063.80 = 11,447.60/x
  3. Step 3: Cross multiply
    11,663.60x = 16,063.80 × 11,447.60
  4. Step 4: Simplify right side
    11,663.60x = 183,891,956.88
  5. Step 5: Solve for x
    x = 183,891,956.88/11,663.60
  6. Step 6: Final answer
    x = 15,766.31

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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.