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Finding the Fourth Proportional to 12,412.35, 18,591.79 and 5,828.67

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Solution

The fourth proportional to 12,412.35, 18,591.79 and 5,828.67 is: 8,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.35 : 18,591.79 = 5,828.67 : x
  2. Step 2: Convert to fraction form
    12,412.35/18,591.79 = 5,828.67/x
  3. Step 3: Cross multiply
    12,412.35x = 18,591.79 × 5,828.67
  4. Step 4: Simplify right side
    12,412.35x = 108,365,408.62
  5. Step 5: Solve for x
    x = 108,365,408.62/12,412.35
  6. Step 6: Final answer
    x = 8,730.45

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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.