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Finding the Fourth Proportional to 12,991.90, 17,928.57 and 7,327.18

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Solution

The fourth proportional to 12,991.90, 17,928.57 and 7,327.18 is: 10,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.90 : 17,928.57 = 7,327.18 : x
  2. Step 2: Convert to fraction form
    12,991.90/17,928.57 = 7,327.18/x
  3. Step 3: Cross multiply
    12,991.90x = 17,928.57 × 7,327.18
  4. Step 4: Simplify right side
    12,991.90x = 131,365,859.53
  5. Step 5: Solve for x
    x = 131,365,859.53/12,991.90
  6. Step 6: Final answer
    x = 10,111.37

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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.