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Finding the Fourth Proportional to 12,894.28, 17,794.16 and 7,305.28

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Solution

The fourth proportional to 12,894.28, 17,794.16 and 7,305.28 is: 10,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.28 : 17,794.16 = 7,305.28 : x
  2. Step 2: Convert to fraction form
    12,894.28/17,794.16 = 7,305.28/x
  3. Step 3: Cross multiply
    12,894.28x = 17,794.16 × 7,305.28
  4. Step 4: Simplify right side
    12,894.28x = 129,991,321.16
  5. Step 5: Solve for x
    x = 129,991,321.16/12,894.28
  6. Step 6: Final answer
    x = 10,081.32

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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.