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Finding the Fourth Proportional to 12,613.69, 17,408.25 and 6,949.01

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Solution

The fourth proportional to 12,613.69, 17,408.25 and 6,949.01 is: 9,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.69 : 17,408.25 = 6,949.01 : x
  2. Step 2: Convert to fraction form
    12,613.69/17,408.25 = 6,949.01/x
  3. Step 3: Cross multiply
    12,613.69x = 17,408.25 × 6,949.01
  4. Step 4: Simplify right side
    12,613.69x = 120,970,068.59
  5. Step 5: Solve for x
    x = 120,970,068.59/12,613.69
  6. Step 6: Final answer
    x = 9,590.38

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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.