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Finding the Fourth Proportional to 22,663.14, 33,986 and 7,462.14

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Solution

The fourth proportional to 22,663.14, 33,986 and 7,462.14 is: 11,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.14 : 33,986 = 7,462.14 : x
  2. Step 2: Convert to fraction form
    22,663.14/33,986 = 7,462.14/x
  3. Step 3: Cross multiply
    22,663.14x = 33,986 × 7,462.14
  4. Step 4: Simplify right side
    22,663.14x = 253,608,290.04
  5. Step 5: Solve for x
    x = 253,608,290.04/22,663.14
  6. Step 6: Final answer
    x = 11,190.34

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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.