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Finding the Fourth Proportional to 12,606.14, 17,396.52 and 6,941.45

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Solution

The fourth proportional to 12,606.14, 17,396.52 and 6,941.45 is: 9,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.14 : 17,396.52 = 6,941.45 : x
  2. Step 2: Convert to fraction form
    12,606.14/17,396.52 = 6,941.45/x
  3. Step 3: Cross multiply
    12,606.14x = 17,396.52 × 6,941.45
  4. Step 4: Simplify right side
    12,606.14x = 120,757,073.75
  5. Step 5: Solve for x
    x = 120,757,073.75/12,606.14
  6. Step 6: Final answer
    x = 9,579.23

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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.