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Finding the Fourth Proportional to 23,891.52, 35,812.32 and 8,084.64

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Solution

The fourth proportional to 23,891.52, 35,812.32 and 8,084.64 is: 12,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.52 : 35,812.32 = 8,084.64 : x
  2. Step 2: Convert to fraction form
    23,891.52/35,812.32 = 8,084.64/x
  3. Step 3: Cross multiply
    23,891.52x = 35,812.32 × 8,084.64
  4. Step 4: Simplify right side
    23,891.52x = 289,529,714.76
  5. Step 5: Solve for x
    x = 289,529,714.76/23,891.52
  6. Step 6: Final answer
    x = 12,118.51

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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.