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Finding the Fourth Proportional to 13,022.58, 17,968.05 and 7,357.44

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Solution

The fourth proportional to 13,022.58, 17,968.05 and 7,357.44 is: 10,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.58 : 17,968.05 = 7,357.44 : x
  2. Step 2: Convert to fraction form
    13,022.58/17,968.05 = 7,357.44/x
  3. Step 3: Cross multiply
    13,022.58x = 17,968.05 × 7,357.44
  4. Step 4: Simplify right side
    13,022.58x = 132,198,849.79
  5. Step 5: Solve for x
    x = 132,198,849.79/13,022.58
  6. Step 6: Final answer
    x = 10,151.51

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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.