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Finding the Fourth Proportional to 8,232.67, 12,345 and 4,071.34

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Solution

The fourth proportional to 8,232.67, 12,345 and 4,071.34 is: 6,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.67 : 12,345 = 4,071.34 : x
  2. Step 2: Convert to fraction form
    8,232.67/12,345 = 4,071.34/x
  3. Step 3: Cross multiply
    8,232.67x = 12,345 × 4,071.34
  4. Step 4: Simplify right side
    8,232.67x = 50,260,692.30
  5. Step 5: Solve for x
    x = 50,260,692.30/8,232.67
  6. Step 6: Final answer
    x = 6,105.03

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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.