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Finding the Fourth Proportional to 9,935.92, 13,712.04 and 5,959.84

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Solution

The fourth proportional to 9,935.92, 13,712.04 and 5,959.84 is: 8,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.92 : 13,712.04 = 5,959.84 : x
  2. Step 2: Convert to fraction form
    9,935.92/13,712.04 = 5,959.84/x
  3. Step 3: Cross multiply
    9,935.92x = 13,712.04 × 5,959.84
  4. Step 4: Simplify right side
    9,935.92x = 81,721,564.47
  5. Step 5: Solve for x
    x = 81,721,564.47/9,935.92
  6. Step 6: Final answer
    x = 8,224.86

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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.