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Finding the Fourth Proportional to 12,634.92, 17,434.98 and 7,046.28

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Solution

The fourth proportional to 12,634.92, 17,434.98 and 7,046.28 is: 9,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.92 : 17,434.98 = 7,046.28 : x
  2. Step 2: Convert to fraction form
    12,634.92/17,434.98 = 7,046.28/x
  3. Step 3: Cross multiply
    12,634.92x = 17,434.98 × 7,046.28
  4. Step 4: Simplify right side
    12,634.92x = 122,851,750.87
  5. Step 5: Solve for x
    x = 122,851,750.87/12,634.92
  6. Step 6: Final answer
    x = 9,723.19

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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.