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Finding the Fourth Proportional to 23,784.14, 35,673.48 and 7,988.54

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Solution

The fourth proportional to 23,784.14, 35,673.48 and 7,988.54 is: 11,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.14 : 35,673.48 = 7,988.54 : x
  2. Step 2: Convert to fraction form
    23,784.14/35,673.48 = 7,988.54/x
  3. Step 3: Cross multiply
    23,784.14x = 35,673.48 × 7,988.54
  4. Step 4: Simplify right side
    23,784.14x = 284,978,843.55
  5. Step 5: Solve for x
    x = 284,978,843.55/23,784.14
  6. Step 6: Final answer
    x = 11,981.88

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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.