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Finding the Fourth Proportional to 13,906.85, 20,853.94 and 6,005.60

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Solution

The fourth proportional to 13,906.85, 20,853.94 and 6,005.60 is: 9,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.85 : 20,853.94 = 6,005.60 : x
  2. Step 2: Convert to fraction form
    13,906.85/20,853.94 = 6,005.60/x
  3. Step 3: Cross multiply
    13,906.85x = 20,853.94 × 6,005.60
  4. Step 4: Simplify right side
    13,906.85x = 125,240,459.18
  5. Step 5: Solve for x
    x = 125,240,459.18/13,906.85
  6. Step 6: Final answer
    x = 9,005.67

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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.