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Finding the Fourth Proportional to 12,536.38, 17,300.26 and 6,947.38

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Solution

The fourth proportional to 12,536.38, 17,300.26 and 6,947.38 is: 9,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.38 : 17,300.26 = 6,947.38 : x
  2. Step 2: Convert to fraction form
    12,536.38/17,300.26 = 6,947.38/x
  3. Step 3: Cross multiply
    12,536.38x = 17,300.26 × 6,947.38
  4. Step 4: Simplify right side
    12,536.38x = 120,191,480.32
  5. Step 5: Solve for x
    x = 120,191,480.32/12,536.38
  6. Step 6: Final answer
    x = 9,587.42

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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.