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Finding the Fourth Proportional to 12,514.38, 17,270.39 and 6,925.38

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Solution

The fourth proportional to 12,514.38, 17,270.39 and 6,925.38 is: 9,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.38 : 17,270.39 = 6,925.38 : x
  2. Step 2: Convert to fraction form
    12,514.38/17,270.39 = 6,925.38/x
  3. Step 3: Cross multiply
    12,514.38x = 17,270.39 × 6,925.38
  4. Step 4: Simplify right side
    12,514.38x = 119,604,013.50
  5. Step 5: Solve for x
    x = 119,604,013.50/12,514.38
  6. Step 6: Final answer
    x = 9,557.33

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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.