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Finding the Fourth Proportional to 23,967.68, 35,936.49 and 7,322.18

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Solution

The fourth proportional to 23,967.68, 35,936.49 and 7,322.18 is: 10,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.68 : 35,936.49 = 7,322.18 : x
  2. Step 2: Convert to fraction form
    23,967.68/35,936.49 = 7,322.18/x
  3. Step 3: Cross multiply
    23,967.68x = 35,936.49 × 7,322.18
  4. Step 4: Simplify right side
    23,967.68x = 263,133,448.35
  5. Step 5: Solve for x
    x = 263,133,448.35/23,967.68
  6. Step 6: Final answer
    x = 10,978.68

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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.