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Finding the Fourth Proportional to 8,092.40, 12,165.60 and 7,023.20

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Solution

The fourth proportional to 8,092.40, 12,165.60 and 7,023.20 is: 10,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.40 : 12,165.60 = 7,023.20 : x
  2. Step 2: Convert to fraction form
    8,092.40/12,165.60 = 7,023.20/x
  3. Step 3: Cross multiply
    8,092.40x = 12,165.60 × 7,023.20
  4. Step 4: Simplify right side
    8,092.40x = 85,441,441.92
  5. Step 5: Solve for x
    x = 85,441,441.92/8,092.40
  6. Step 6: Final answer
    x = 10,558.23

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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.