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Finding the Fourth Proportional to 12,646.12, 17,450.94 and 7,057.48

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Solution

The fourth proportional to 12,646.12, 17,450.94 and 7,057.48 is: 9,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.12 : 17,450.94 = 7,057.48 : x
  2. Step 2: Convert to fraction form
    12,646.12/17,450.94 = 7,057.48/x
  3. Step 3: Cross multiply
    12,646.12x = 17,450.94 × 7,057.48
  4. Step 4: Simplify right side
    12,646.12x = 123,159,660.03
  5. Step 5: Solve for x
    x = 123,159,660.03/12,646.12
  6. Step 6: Final answer
    x = 9,738.93

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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.