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Finding the Fourth Proportional to 8,234.40, 12,351.64 and 2,078.40

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Solution

The fourth proportional to 8,234.40, 12,351.64 and 2,078.40 is: 3,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.40 : 12,351.64 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    8,234.40/12,351.64 = 2,078.40/x
  3. Step 3: Cross multiply
    8,234.40x = 12,351.64 × 2,078.40
  4. Step 4: Simplify right side
    8,234.40x = 25,671,648.58
  5. Step 5: Solve for x
    x = 25,671,648.58/8,234.40
  6. Step 6: Final answer
    x = 3,117.61

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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.