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Finding the Fourth Proportional to 8,137.80, 12,182.40 and 7,165.80

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Solution

The fourth proportional to 8,137.80, 12,182.40 and 7,165.80 is: 10,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.80 : 12,182.40 = 7,165.80 : x
  2. Step 2: Convert to fraction form
    8,137.80/12,182.40 = 7,165.80/x
  3. Step 3: Cross multiply
    8,137.80x = 12,182.40 × 7,165.80
  4. Step 4: Simplify right side
    8,137.80x = 87,296,641.92
  5. Step 5: Solve for x
    x = 87,296,641.92/8,137.80
  6. Step 6: Final answer
    x = 10,727.30

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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.