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Finding the Fourth Proportional to 8,400.08, 12,614.52 and 8,123.60

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Solution

The fourth proportional to 8,400.08, 12,614.52 and 8,123.60 is: 12,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.08 : 12,614.52 = 8,123.60 : x
  2. Step 2: Convert to fraction form
    8,400.08/12,614.52 = 8,123.60/x
  3. Step 3: Cross multiply
    8,400.08x = 12,614.52 × 8,123.60
  4. Step 4: Simplify right side
    8,400.08x = 102,475,314.67
  5. Step 5: Solve for x
    x = 102,475,314.67/8,400.08
  6. Step 6: Final answer
    x = 12,199.33

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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.