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Finding the Fourth Proportional to 10,992.32, 15,169.38 and 5,956.68

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Solution

The fourth proportional to 10,992.32, 15,169.38 and 5,956.68 is: 8,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.32 : 15,169.38 = 5,956.68 : x
  2. Step 2: Convert to fraction form
    10,992.32/15,169.38 = 5,956.68/x
  3. Step 3: Cross multiply
    10,992.32x = 15,169.38 × 5,956.68
  4. Step 4: Simplify right side
    10,992.32x = 90,359,210.51
  5. Step 5: Solve for x
    x = 90,359,210.51/10,992.32
  6. Step 6: Final answer
    x = 8,220.21

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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.