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Finding the Fourth Proportional to 12,651, 17,458.39 and 7,062

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Solution

The fourth proportional to 12,651, 17,458.39 and 7,062 is: 9,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651 : 17,458.39 = 7,062 : x
  2. Step 2: Convert to fraction form
    12,651/17,458.39 = 7,062/x
  3. Step 3: Cross multiply
    12,651x = 17,458.39 × 7,062
  4. Step 4: Simplify right side
    12,651x = 123,291,150.18
  5. Step 5: Solve for x
    x = 123,291,150.18/12,651
  6. Step 6: Final answer
    x = 9,745.57

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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.