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Finding the Fourth Proportional to 23,783.63, 35,691.84 and 8,201.25

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Solution

The fourth proportional to 23,783.63, 35,691.84 and 8,201.25 is: 12,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.63 : 35,691.84 = 8,201.25 : x
  2. Step 2: Convert to fraction form
    23,783.63/35,691.84 = 8,201.25/x
  3. Step 3: Cross multiply
    23,783.63x = 35,691.84 × 8,201.25
  4. Step 4: Simplify right side
    23,783.63x = 292,717,702.80
  5. Step 5: Solve for x
    x = 292,717,702.80/23,783.63
  6. Step 6: Final answer
    x = 12,307.53

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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.