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Finding the Fourth Proportional to 10,993.16, 15,170.51 and 5,957.51

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Solution

The fourth proportional to 10,993.16, 15,170.51 and 5,957.51 is: 8,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.16 : 15,170.51 = 5,957.51 : x
  2. Step 2: Convert to fraction form
    10,993.16/15,170.51 = 5,957.51/x
  3. Step 3: Cross multiply
    10,993.16x = 15,170.51 × 5,957.51
  4. Step 4: Simplify right side
    10,993.16x = 90,378,359.39
  5. Step 5: Solve for x
    x = 90,378,359.39/10,993.16
  6. Step 6: Final answer
    x = 8,221.33

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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.