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Finding the Fourth Proportional to 12,991.64, 17,930.10 and 8,519.12

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Solution

The fourth proportional to 12,991.64, 17,930.10 and 8,519.12 is: 11,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.64 : 17,930.10 = 8,519.12 : x
  2. Step 2: Convert to fraction form
    12,991.64/17,930.10 = 8,519.12/x
  3. Step 3: Cross multiply
    12,991.64x = 17,930.10 × 8,519.12
  4. Step 4: Simplify right side
    12,991.64x = 152,748,673.51
  5. Step 5: Solve for x
    x = 152,748,673.51/12,991.64
  6. Step 6: Final answer
    x = 11,757.46

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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.