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Finding the Fourth Proportional to 23,724.74, 35,575.02 and 7,924.08

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Solution

The fourth proportional to 23,724.74, 35,575.02 and 7,924.08 is: 11,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.74 : 35,575.02 = 7,924.08 : x
  2. Step 2: Convert to fraction form
    23,724.74/35,575.02 = 7,924.08/x
  3. Step 3: Cross multiply
    23,724.74x = 35,575.02 × 7,924.08
  4. Step 4: Simplify right side
    23,724.74x = 281,899,304.48
  5. Step 5: Solve for x
    x = 281,899,304.48/23,724.74
  6. Step 6: Final answer
    x = 11,882.08

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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.