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Finding the Fourth Proportional to 8,102.34, 12,149.73 and 4,592.34

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Solution

The fourth proportional to 8,102.34, 12,149.73 and 4,592.34 is: 6,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.34 : 12,149.73 = 4,592.34 : x
  2. Step 2: Convert to fraction form
    8,102.34/12,149.73 = 4,592.34/x
  3. Step 3: Cross multiply
    8,102.34x = 12,149.73 × 4,592.34
  4. Step 4: Simplify right side
    8,102.34x = 55,795,691.07
  5. Step 5: Solve for x
    x = 55,795,691.07/8,102.34
  6. Step 6: Final answer
    x = 6,886.37

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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.