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Finding the Fourth Proportional to 8,360.92, 12,541.98 and 2,814.24

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Solution

The fourth proportional to 8,360.92, 12,541.98 and 2,814.24 is: 4,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.92 : 12,541.98 = 2,814.24 : x
  2. Step 2: Convert to fraction form
    8,360.92/12,541.98 = 2,814.24/x
  3. Step 3: Cross multiply
    8,360.92x = 12,541.98 × 2,814.24
  4. Step 4: Simplify right side
    8,360.92x = 35,296,141.80
  5. Step 5: Solve for x
    x = 35,296,141.80/8,360.92
  6. Step 6: Final answer
    x = 4,221.56

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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.