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Finding the Fourth Proportional to 13,791.48, 19,033.20 and 7,823.20

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Solution

The fourth proportional to 13,791.48, 19,033.20 and 7,823.20 is: 10,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.48 : 19,033.20 = 7,823.20 : x
  2. Step 2: Convert to fraction form
    13,791.48/19,033.20 = 7,823.20/x
  3. Step 3: Cross multiply
    13,791.48x = 19,033.20 × 7,823.20
  4. Step 4: Simplify right side
    13,791.48x = 148,900,530.24
  5. Step 5: Solve for x
    x = 148,900,530.24/13,791.48
  6. Step 6: Final answer
    x = 10,796.56

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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.