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Finding the Fourth Proportional to 23,770.52, 35,631.03 and 7,963.64

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Solution

The fourth proportional to 23,770.52, 35,631.03 and 7,963.64 is: 11,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.52 : 35,631.03 = 7,963.64 : x
  2. Step 2: Convert to fraction form
    23,770.52/35,631.03 = 7,963.64/x
  3. Step 3: Cross multiply
    23,770.52x = 35,631.03 × 7,963.64
  4. Step 4: Simplify right side
    23,770.52x = 283,752,517.59
  5. Step 5: Solve for x
    x = 283,752,517.59/23,770.52
  6. Step 6: Final answer
    x = 11,937.16

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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.