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Finding the Fourth Proportional to 12,857.36, 17,743.28 and 7,552.28

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Solution

The fourth proportional to 12,857.36, 17,743.28 and 7,552.28 is: 10,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.36 : 17,743.28 = 7,552.28 : x
  2. Step 2: Convert to fraction form
    12,857.36/17,743.28 = 7,552.28/x
  3. Step 3: Cross multiply
    12,857.36x = 17,743.28 × 7,552.28
  4. Step 4: Simplify right side
    12,857.36x = 134,002,218.68
  5. Step 5: Solve for x
    x = 134,002,218.68/12,857.36
  6. Step 6: Final answer
    x = 10,422.22

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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.