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Finding the Fourth Proportional to 12,614.08, 17,410.44 and 7,311.82

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Solution

The fourth proportional to 12,614.08, 17,410.44 and 7,311.82 is: 10,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.08 : 17,410.44 = 7,311.82 : x
  2. Step 2: Convert to fraction form
    12,614.08/17,410.44 = 7,311.82/x
  3. Step 3: Cross multiply
    12,614.08x = 17,410.44 × 7,311.82
  4. Step 4: Simplify right side
    12,614.08x = 127,302,003.40
  5. Step 5: Solve for x
    x = 127,302,003.40/12,614.08
  6. Step 6: Final answer
    x = 10,092.06

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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.