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Finding the Fourth Proportional to 9,791.92, 13,512.99 and 5,315.68

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Solution

The fourth proportional to 9,791.92, 13,512.99 and 5,315.68 is: 7,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.92 : 13,512.99 = 5,315.68 : x
  2. Step 2: Convert to fraction form
    9,791.92/13,512.99 = 5,315.68/x
  3. Step 3: Cross multiply
    9,791.92x = 13,512.99 × 5,315.68
  4. Step 4: Simplify right side
    9,791.92x = 71,830,730.68
  5. Step 5: Solve for x
    x = 71,830,730.68/9,791.92
  6. Step 6: Final answer
    x = 7,335.71

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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.