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Finding the Fourth Proportional to 11,654.82, 17,392.64 and 10,409.22

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Solution

The fourth proportional to 11,654.82, 17,392.64 and 10,409.22 is: 15,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.82 : 17,392.64 = 10,409.22 : x
  2. Step 2: Convert to fraction form
    11,654.82/17,392.64 = 10,409.22/x
  3. Step 3: Cross multiply
    11,654.82x = 17,392.64 × 10,409.22
  4. Step 4: Simplify right side
    11,654.82x = 181,043,816.14
  5. Step 5: Solve for x
    x = 181,043,816.14/11,654.82
  6. Step 6: Final answer
    x = 15,533.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.