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Finding the Fourth Proportional to 12,767.97, 17,619.90 and 7,461.75

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Solution

The fourth proportional to 12,767.97, 17,619.90 and 7,461.75 is: 10,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.97 : 17,619.90 = 7,461.75 : x
  2. Step 2: Convert to fraction form
    12,767.97/17,619.90 = 7,461.75/x
  3. Step 3: Cross multiply
    12,767.97x = 17,619.90 × 7,461.75
  4. Step 4: Simplify right side
    12,767.97x = 131,475,288.83
  5. Step 5: Solve for x
    x = 131,475,288.83/12,767.97
  6. Step 6: Final answer
    x = 10,297.27

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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.