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Finding the Fourth Proportional to 6,311.14, 8,709.32 and 3,478.63

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Solution

The fourth proportional to 6,311.14, 8,709.32 and 3,478.63 is: 4,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.14 : 8,709.32 = 3,478.63 : x
  2. Step 2: Convert to fraction form
    6,311.14/8,709.32 = 3,478.63/x
  3. Step 3: Cross multiply
    6,311.14x = 8,709.32 × 3,478.63
  4. Step 4: Simplify right side
    6,311.14x = 30,296,440.89
  5. Step 5: Solve for x
    x = 30,296,440.89/6,311.14
  6. Step 6: Final answer
    x = 4,800.47

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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.