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Finding the Fourth Proportional to 8,245.70, 11,378.85 and 4,468.70

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Solution

The fourth proportional to 8,245.70, 11,378.85 and 4,468.70 is: 6,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.70 : 11,378.85 = 4,468.70 : x
  2. Step 2: Convert to fraction form
    8,245.70/11,378.85 = 4,468.70/x
  3. Step 3: Cross multiply
    8,245.70x = 11,378.85 × 4,468.70
  4. Step 4: Simplify right side
    8,245.70x = 50,848,610.10
  5. Step 5: Solve for x
    x = 50,848,610.10/8,245.70
  6. Step 6: Final answer
    x = 6,166.69

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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.