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Finding the Fourth Proportional to 12,605.96, 17,396.16 and 6,941

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Solution

The fourth proportional to 12,605.96, 17,396.16 and 6,941 is: 9,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.96 : 17,396.16 = 6,941 : x
  2. Step 2: Convert to fraction form
    12,605.96/17,396.16 = 6,941/x
  3. Step 3: Cross multiply
    12,605.96x = 17,396.16 × 6,941
  4. Step 4: Simplify right side
    12,605.96x = 120,746,746.56
  5. Step 5: Solve for x
    x = 120,746,746.56/12,605.96
  6. Step 6: Final answer
    x = 9,578.54

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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.