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Finding the Fourth Proportional to 12,767.94, 17,619.39 and 7,735.14

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Solution

The fourth proportional to 12,767.94, 17,619.39 and 7,735.14 is: 10,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.94 : 17,619.39 = 7,735.14 : x
  2. Step 2: Convert to fraction form
    12,767.94/17,619.39 = 7,735.14/x
  3. Step 3: Cross multiply
    12,767.94x = 17,619.39 × 7,735.14
  4. Step 4: Simplify right side
    12,767.94x = 136,288,448.36
  5. Step 5: Solve for x
    x = 136,288,448.36/12,767.94
  6. Step 6: Final answer
    x = 10,674.27

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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.