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Finding the Fourth Proportional to 23,968.27, 35,952.24 and 7,328.24

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Solution

The fourth proportional to 23,968.27, 35,952.24 and 7,328.24 is: 10,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.27 : 35,952.24 = 7,328.24 : x
  2. Step 2: Convert to fraction form
    23,968.27/35,952.24 = 7,328.24/x
  3. Step 3: Cross multiply
    23,968.27x = 35,952.24 × 7,328.24
  4. Step 4: Simplify right side
    23,968.27x = 263,466,463.50
  5. Step 5: Solve for x
    x = 263,466,463.50/23,968.27
  6. Step 6: Final answer
    x = 10,992.30

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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.