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Finding the Fourth Proportional to 12,533.38, 17,297.14 and 6,945.46

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Solution

The fourth proportional to 12,533.38, 17,297.14 and 6,945.46 is: 9,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.38 : 17,297.14 = 6,945.46 : x
  2. Step 2: Convert to fraction form
    12,533.38/17,297.14 = 6,945.46/x
  3. Step 3: Cross multiply
    12,533.38x = 17,297.14 × 6,945.46
  4. Step 4: Simplify right side
    12,533.38x = 120,136,593.98
  5. Step 5: Solve for x
    x = 120,136,593.98/12,533.38
  6. Step 6: Final answer
    x = 9,585.33

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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.