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Finding the Fourth Proportional to 11,594.93, 16,000.89 and 6,289.67

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Solution

The fourth proportional to 11,594.93, 16,000.89 and 6,289.67 is: 8,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.93 : 16,000.89 = 6,289.67 : x
  2. Step 2: Convert to fraction form
    11,594.93/16,000.89 = 6,289.67/x
  3. Step 3: Cross multiply
    11,594.93x = 16,000.89 × 6,289.67
  4. Step 4: Simplify right side
    11,594.93x = 100,640,317.81
  5. Step 5: Solve for x
    x = 100,640,317.81/11,594.93
  6. Step 6: Final answer
    x = 8,679.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.