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Finding the Fourth Proportional to 13,642.92, 20,464.38 and 9,754.92

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Solution

The fourth proportional to 13,642.92, 20,464.38 and 9,754.92 is: 14,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.92 : 20,464.38 = 9,754.92 : x
  2. Step 2: Convert to fraction form
    13,642.92/20,464.38 = 9,754.92/x
  3. Step 3: Cross multiply
    13,642.92x = 20,464.38 × 9,754.92
  4. Step 4: Simplify right side
    13,642.92x = 199,628,389.75
  5. Step 5: Solve for x
    x = 199,628,389.75/13,642.92
  6. Step 6: Final answer
    x = 14,632.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.