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Finding the Fourth Proportional to 23,967.42, 35,938.68 and 7,324.08

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Solution

The fourth proportional to 23,967.42, 35,938.68 and 7,324.08 is: 10,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.42 : 35,938.68 = 7,324.08 : x
  2. Step 2: Convert to fraction form
    23,967.42/35,938.68 = 7,324.08/x
  3. Step 3: Cross multiply
    23,967.42x = 35,938.68 × 7,324.08
  4. Step 4: Simplify right side
    23,967.42x = 263,217,767.41
  5. Step 5: Solve for x
    x = 263,217,767.41/23,967.42
  6. Step 6: Final answer
    x = 10,982.32

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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.