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Finding the Fourth Proportional to 12,859.44, 17,746.24 and 7,194.24

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Solution

The fourth proportional to 12,859.44, 17,746.24 and 7,194.24 is: 9,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.44 : 17,746.24 = 7,194.24 : x
  2. Step 2: Convert to fraction form
    12,859.44/17,746.24 = 7,194.24/x
  3. Step 3: Cross multiply
    12,859.44x = 17,746.24 × 7,194.24
  4. Step 4: Simplify right side
    12,859.44x = 127,670,709.66
  5. Step 5: Solve for x
    x = 127,670,709.66/12,859.44
  6. Step 6: Final answer
    x = 9,928.17

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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.