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Finding the Fourth Proportional to 12,991.15, 17,927.73 and 7,022.83

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Solution

The fourth proportional to 12,991.15, 17,927.73 and 7,022.83 is: 9,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.15 : 17,927.73 = 7,022.83 : x
  2. Step 2: Convert to fraction form
    12,991.15/17,927.73 = 7,022.83/x
  3. Step 3: Cross multiply
    12,991.15x = 17,927.73 × 7,022.83
  4. Step 4: Simplify right side
    12,991.15x = 125,903,400.08
  5. Step 5: Solve for x
    x = 125,903,400.08/12,991.15
  6. Step 6: Final answer
    x = 9,691.47

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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.