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Finding the Fourth Proportional to 12,497, 17,247.36 and 8,019.12

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Solution

The fourth proportional to 12,497, 17,247.36 and 8,019.12 is: 11,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497 : 17,247.36 = 8,019.12 : x
  2. Step 2: Convert to fraction form
    12,497/17,247.36 = 8,019.12/x
  3. Step 3: Cross multiply
    12,497x = 17,247.36 × 8,019.12
  4. Step 4: Simplify right side
    12,497x = 138,308,649.52
  5. Step 5: Solve for x
    x = 138,308,649.52/12,497
  6. Step 6: Final answer
    x = 11,067.35

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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.