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Finding the Fourth Proportional to 6,310.76, 9,467.76 and 1,928.12

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Solution

The fourth proportional to 6,310.76, 9,467.76 and 1,928.12 is: 2,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.76 : 9,467.76 = 1,928.12 : x
  2. Step 2: Convert to fraction form
    6,310.76/9,467.76 = 1,928.12/x
  3. Step 3: Cross multiply
    6,310.76x = 9,467.76 × 1,928.12
  4. Step 4: Simplify right side
    6,310.76x = 18,254,977.41
  5. Step 5: Solve for x
    x = 18,254,977.41/6,310.76
  6. Step 6: Final answer
    x = 2,892.67

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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.