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Finding the Fourth Proportional to 11,922.84, 17,883.99 and 7,023.56

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Solution

The fourth proportional to 11,922.84, 17,883.99 and 7,023.56 is: 10,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.84 : 17,883.99 = 7,023.56 : x
  2. Step 2: Convert to fraction form
    11,922.84/17,883.99 = 7,023.56/x
  3. Step 3: Cross multiply
    11,922.84x = 17,883.99 × 7,023.56
  4. Step 4: Simplify right side
    11,922.84x = 125,609,276.80
  5. Step 5: Solve for x
    x = 125,609,276.80/11,922.84
  6. Step 6: Final answer
    x = 10,535.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.