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Finding the Fourth Proportional to 12,614.81, 17,408.27 and 6,949.44

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Solution

The fourth proportional to 12,614.81, 17,408.27 and 6,949.44 is: 9,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.81 : 17,408.27 = 6,949.44 : x
  2. Step 2: Convert to fraction form
    12,614.81/17,408.27 = 6,949.44/x
  3. Step 3: Cross multiply
    12,614.81x = 17,408.27 × 6,949.44
  4. Step 4: Simplify right side
    12,614.81x = 120,977,693.12
  5. Step 5: Solve for x
    x = 120,977,693.12/12,614.81
  6. Step 6: Final answer
    x = 9,590.14

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1.5x scale

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.